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Finding the Fourth Proportional to 257,655.61, 386,432.56 and 86,860.42

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Solution

The fourth proportional to 257,655.61, 386,432.56 and 86,860.42 is: 130,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,655.61 : 386,432.56 = 86,860.42 : x
  2. Step 2: Convert to fraction form
    257,655.61/386,432.56 = 86,860.42/x
  3. Step 3: Cross multiply
    257,655.61x = 386,432.56 × 86,860.42
  4. Step 4: Simplify right side
    257,655.61x = 33,565,694,463.28
  5. Step 5: Solve for x
    x = 33,565,694,463.28/257,655.61
  6. Step 6: Final answer
    x = 130,273.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.