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Finding the Fourth Proportional to 257,534.71, 386,357.42 and 86,773.39

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Solution

The fourth proportional to 257,534.71, 386,357.42 and 86,773.39 is: 130,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,534.71 : 386,357.42 = 86,773.39 : x
  2. Step 2: Convert to fraction form
    257,534.71/386,357.42 = 86,773.39/x
  3. Step 3: Cross multiply
    257,534.71x = 386,357.42 × 86,773.39
  4. Step 4: Simplify right side
    257,534.71x = 33,525,542,336.09
  5. Step 5: Solve for x
    x = 33,525,542,336.09/257,534.71
  6. Step 6: Final answer
    x = 130,178.73

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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.