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Finding the Fourth Proportional to 120,787.68, 181,212.78 and 45,909.12

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Solution

The fourth proportional to 120,787.68, 181,212.78 and 45,909.12 is: 68,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787.68 : 181,212.78 = 45,909.12 : x
  2. Step 2: Convert to fraction form
    120,787.68/181,212.78 = 45,909.12/x
  3. Step 3: Cross multiply
    120,787.68x = 181,212.78 × 45,909.12
  4. Step 4: Simplify right side
    120,787.68x = 8,319,319,262.55
  5. Step 5: Solve for x
    x = 8,319,319,262.55/120,787.68
  6. Step 6: Final answer
    x = 68,875.56

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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.