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Finding the Fourth Proportional to 77,487.54, 106,929.10 and 43,491.84

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Solution

The fourth proportional to 77,487.54, 106,929.10 and 43,491.84 is: 60,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487.54 : 106,929.10 = 43,491.84 : x
  2. Step 2: Convert to fraction form
    77,487.54/106,929.10 = 43,491.84/x
  3. Step 3: Cross multiply
    77,487.54x = 106,929.10 × 43,491.84
  4. Step 4: Simplify right side
    77,487.54x = 4,650,542,773.90
  5. Step 5: Solve for x
    x = 4,650,542,773.90/77,487.54
  6. Step 6: Final answer
    x = 60,016.66

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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.