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Finding the Fourth Proportional to 73,979.76, 102,092.16 and 40,445.76

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Solution

The fourth proportional to 73,979.76, 102,092.16 and 40,445.76 is: 55,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,979.76 : 102,092.16 = 40,445.76 : x
  2. Step 2: Convert to fraction form
    73,979.76/102,092.16 = 40,445.76/x
  3. Step 3: Cross multiply
    73,979.76x = 102,092.16 × 40,445.76
  4. Step 4: Simplify right side
    73,979.76x = 4,129,195,001.24
  5. Step 5: Solve for x
    x = 4,129,195,001.24/73,979.76
  6. Step 6: Final answer
    x = 55,815.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.