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Finding the Fourth Proportional to 537,442.39, 806,164.19 and 138,086.47

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Solution

The fourth proportional to 537,442.39, 806,164.19 and 138,086.47 is: 207,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,442.39 : 806,164.19 = 138,086.47 : x
  2. Step 2: Convert to fraction form
    537,442.39/806,164.19 = 138,086.47/x
  3. Step 3: Cross multiply
    537,442.39x = 806,164.19 × 138,086.47
  4. Step 4: Simplify right side
    537,442.39x = 111,320,368,849.34
  5. Step 5: Solve for x
    x = 111,320,368,849.34/537,442.39
  6. Step 6: Final answer
    x = 207,129.86

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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.