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Finding the Fourth Proportional to 81,787.80, 122,701.35 and 28,471.93

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Solution

The fourth proportional to 81,787.80, 122,701.35 and 28,471.93 is: 42,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.80 : 122,701.35 = 28,471.93 : x
  2. Step 2: Convert to fraction form
    81,787.80/122,701.35 = 28,471.93/x
  3. Step 3: Cross multiply
    81,787.80x = 122,701.35 × 28,471.93
  4. Step 4: Simplify right side
    81,787.80x = 3,493,544,233.06
  5. Step 5: Solve for x
    x = 3,493,544,233.06/81,787.80
  6. Step 6: Final answer
    x = 42,714.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.