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Finding the Fourth Proportional to 73,966.78, 102,074.52 and 40,432.78

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Solution

The fourth proportional to 73,966.78, 102,074.52 and 40,432.78 is: 55,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,966.78 : 102,074.52 = 40,432.78 : x
  2. Step 2: Convert to fraction form
    73,966.78/102,074.52 = 40,432.78/x
  3. Step 3: Cross multiply
    73,966.78x = 102,074.52 × 40,432.78
  4. Step 4: Simplify right side
    73,966.78x = 4,127,156,610.77
  5. Step 5: Solve for x
    x = 4,127,156,610.77/73,966.78
  6. Step 6: Final answer
    x = 55,797.44

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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.