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Finding the Fourth Proportional to 537,860.91, 806,791.92 and 138,502.56

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Solution

The fourth proportional to 537,860.91, 806,791.92 and 138,502.56 is: 207,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,860.91 : 806,791.92 = 138,502.56 : x
  2. Step 2: Convert to fraction form
    537,860.91/806,791.92 = 138,502.56/x
  3. Step 3: Cross multiply
    537,860.91x = 806,791.92 × 138,502.56
  4. Step 4: Simplify right side
    537,860.91x = 111,742,746,307.32
  5. Step 5: Solve for x
    x = 111,742,746,307.32/537,860.91
  6. Step 6: Final answer
    x = 207,753.98

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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.