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Finding the Fourth Proportional to 138,364.77, 207,417.54 and 75,092.04

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Solution

The fourth proportional to 138,364.77, 207,417.54 and 75,092.04 is: 112,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364.77 : 207,417.54 = 75,092.04 : x
  2. Step 2: Convert to fraction form
    138,364.77/207,417.54 = 75,092.04/x
  3. Step 3: Cross multiply
    138,364.77x = 207,417.54 × 75,092.04
  4. Step 4: Simplify right side
    138,364.77x = 15,575,406,210.38
  5. Step 5: Solve for x
    x = 15,575,406,210.38/138,364.77
  6. Step 6: Final answer
    x = 112,567.72

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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.