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Finding the Fourth Proportional to 255,064,851.71, 351,978,171.99 and 142,040,173.21

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Solution

The fourth proportional to 255,064,851.71, 351,978,171.99 and 142,040,173.21 is: 196,009,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,064,851.71 : 351,978,171.99 = 142,040,173.21 : x
  2. Step 2: Convert to fraction form
    255,064,851.71/351,978,171.99 = 142,040,173.21/x
  3. Step 3: Cross multiply
    255,064,851.71x = 351,978,171.99 × 142,040,173.21
  4. Step 4: Simplify right side
    255,064,851.71x = 49,995,040,515,598,776
  5. Step 5: Solve for x
    x = 49,995,040,515,598,776/255,064,851.71
  6. Step 6: Final answer
    x = 196,009,133.29

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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.