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Finding the Fourth Proportional to 81,878.76, 122,105.91 and 72,807.24

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Solution

The fourth proportional to 81,878.76, 122,105.91 and 72,807.24 is: 108,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.76 : 122,105.91 = 72,807.24 : x
  2. Step 2: Convert to fraction form
    81,878.76/122,105.91 = 72,807.24/x
  3. Step 3: Cross multiply
    81,878.76x = 122,105.91 × 72,807.24
  4. Step 4: Simplify right side
    81,878.76x = 8,890,194,294.79
  5. Step 5: Solve for x
    x = 8,890,194,294.79/81,878.76
  6. Step 6: Final answer
    x = 108,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.