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Finding the Fourth Proportional to 138,116.52, 207,186.54 and 38,276.76

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Solution

The fourth proportional to 138,116.52, 207,186.54 and 38,276.76 is: 57,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,116.52 : 207,186.54 = 38,276.76 : x
  2. Step 2: Convert to fraction form
    138,116.52/207,186.54 = 38,276.76/x
  3. Step 3: Cross multiply
    138,116.52x = 207,186.54 × 38,276.76
  4. Step 4: Simplify right side
    138,116.52x = 7,930,429,466.81
  5. Step 5: Solve for x
    x = 7,930,429,466.81/138,116.52
  6. Step 6: Final answer
    x = 57,418.40

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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.