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Finding the Fourth Proportional to 138,077.86, 207,117.28 and 42,016

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Solution

The fourth proportional to 138,077.86, 207,117.28 and 42,016 is: 63,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,077.86 : 207,117.28 = 42,016 : x
  2. Step 2: Convert to fraction form
    138,077.86/207,117.28 = 42,016/x
  3. Step 3: Cross multiply
    138,077.86x = 207,117.28 × 42,016
  4. Step 4: Simplify right side
    138,077.86x = 8,702,239,636.48
  5. Step 5: Solve for x
    x = 8,702,239,636.48/138,077.86
  6. Step 6: Final answer
    x = 63,024.15

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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.