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Finding the Fourth Proportional to 78,491.92, 108,318.24 and 42,681.96

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Solution

The fourth proportional to 78,491.92, 108,318.24 and 42,681.96 is: 58,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.92 : 108,318.24 = 42,681.96 : x
  2. Step 2: Convert to fraction form
    78,491.92/108,318.24 = 42,681.96/x
  3. Step 3: Cross multiply
    78,491.92x = 108,318.24 × 42,681.96
  4. Step 4: Simplify right side
    78,491.92x = 4,623,234,786.95
  5. Step 5: Solve for x
    x = 4,623,234,786.95/78,491.92
  6. Step 6: Final answer
    x = 58,900.77

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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.