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Finding the Fourth Proportional to 87,776, 121,133.92 and 48,032

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Solution

The fourth proportional to 87,776, 121,133.92 and 48,032 is: 66,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,776 : 121,133.92 = 48,032 : x
  2. Step 2: Convert to fraction form
    87,776/121,133.92 = 48,032/x
  3. Step 3: Cross multiply
    87,776x = 121,133.92 × 48,032
  4. Step 4: Simplify right side
    87,776x = 5,818,304,445.44
  5. Step 5: Solve for x
    x = 5,818,304,445.44/87,776
  6. Step 6: Final answer
    x = 66,285.82

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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.