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Finding the Fourth Proportional to 120,543.68, 166,354.44 and 72,787.52

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Solution

The fourth proportional to 120,543.68, 166,354.44 and 72,787.52 is: 100,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,543.68 : 166,354.44 = 72,787.52 : x
  2. Step 2: Convert to fraction form
    120,543.68/166,354.44 = 72,787.52/x
  3. Step 3: Cross multiply
    120,543.68x = 166,354.44 × 72,787.52
  4. Step 4: Simplify right side
    120,543.68x = 12,108,527,128.59
  5. Step 5: Solve for x
    x = 12,108,527,128.59/120,543.68
  6. Step 6: Final answer
    x = 100,449.29

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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.