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Finding the Fourth Proportional to 255,064,786.85, 351,978,083.51 and 142,040,109.26

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Solution

The fourth proportional to 255,064,786.85, 351,978,083.51 and 142,040,109.26 is: 196,009,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,064,786.85 : 351,978,083.51 = 142,040,109.26 : x
  2. Step 2: Convert to fraction form
    255,064,786.85/351,978,083.51 = 142,040,109.26/x
  3. Step 3: Cross multiply
    255,064,786.85x = 351,978,083.51 × 142,040,109.26
  4. Step 4: Simplify right side
    255,064,786.85x = 49,995,005,436,415,712
  5. Step 5: Solve for x
    x = 49,995,005,436,415,712/255,064,786.85
  6. Step 6: Final answer
    x = 196,009,045.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.