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Finding the Fourth Proportional to 257,126.38, 385,685.37 and 86,359.95

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Solution

The fourth proportional to 257,126.38, 385,685.37 and 86,359.95 is: 129,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,126.38 : 385,685.37 = 86,359.95 : x
  2. Step 2: Convert to fraction form
    257,126.38/385,685.37 = 86,359.95/x
  3. Step 3: Cross multiply
    257,126.38x = 385,685.37 × 86,359.95
  4. Step 4: Simplify right side
    257,126.38x = 33,307,769,268.93
  5. Step 5: Solve for x
    x = 33,307,769,268.93/257,126.38
  6. Step 6: Final answer
    x = 129,538.52

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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.