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Finding the Fourth Proportional to 120,009.68, 180,013.87 and 48,932.04

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Solution

The fourth proportional to 120,009.68, 180,013.87 and 48,932.04 is: 73,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,009.68 : 180,013.87 = 48,932.04 : x
  2. Step 2: Convert to fraction form
    120,009.68/180,013.87 = 48,932.04/x
  3. Step 3: Cross multiply
    120,009.68x = 180,013.87 × 48,932.04
  4. Step 4: Simplify right side
    120,009.68x = 8,808,445,642.73
  5. Step 5: Solve for x
    x = 8,808,445,642.73/120,009.68
  6. Step 6: Final answer
    x = 73,397.79

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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.