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Finding the Fourth Proportional to 81,221.78, 112,052.10 and 63,285.64

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Solution

The fourth proportional to 81,221.78, 112,052.10 and 63,285.64 is: 87,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,221.78 : 112,052.10 = 63,285.64 : x
  2. Step 2: Convert to fraction form
    81,221.78/112,052.10 = 63,285.64/x
  3. Step 3: Cross multiply
    81,221.78x = 112,052.10 × 63,285.64
  4. Step 4: Simplify right side
    81,221.78x = 7,091,288,545.42
  5. Step 5: Solve for x
    x = 7,091,288,545.42/81,221.78
  6. Step 6: Final answer
    x = 87,307.73

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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.