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Finding the Fourth Proportional to 255,064,776, 351,978,067.93 and 142,040,097.69

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Solution

The fourth proportional to 255,064,776, 351,978,067.93 and 142,040,097.69 is: 196,009,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,064,776 : 351,978,067.93 = 142,040,097.69 : x
  2. Step 2: Convert to fraction form
    255,064,776/351,978,067.93 = 142,040,097.69/x
  3. Step 3: Cross multiply
    255,064,776x = 351,978,067.93 × 142,040,097.69
  4. Step 4: Simplify right side
    255,064,776x = 49,994,999,153,514,656
  5. Step 5: Solve for x
    x = 49,994,999,153,514,656/255,064,776
  6. Step 6: Final answer
    x = 196,009,029.30

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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.