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Finding the Fourth Proportional to 120,397.76, 180,565.76 and 49,370.48

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Solution

The fourth proportional to 120,397.76, 180,565.76 and 49,370.48 is: 74,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,397.76 : 180,565.76 = 49,370.48 : x
  2. Step 2: Convert to fraction form
    120,397.76/180,565.76 = 49,370.48/x
  3. Step 3: Cross multiply
    120,397.76x = 180,565.76 × 49,370.48
  4. Step 4: Simplify right side
    120,397.76x = 8,914,618,242.76
  5. Step 5: Solve for x
    x = 8,914,618,242.76/120,397.76
  6. Step 6: Final answer
    x = 74,043.06

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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.