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Finding the Fourth Proportional to 80,543.64, 120,713.36 and 45,503.04

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Solution

The fourth proportional to 80,543.64, 120,713.36 and 45,503.04 is: 68,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,543.64 : 120,713.36 = 45,503.04 : x
  2. Step 2: Convert to fraction form
    80,543.64/120,713.36 = 45,503.04/x
  3. Step 3: Cross multiply
    80,543.64x = 120,713.36 × 45,503.04
  4. Step 4: Simplify right side
    80,543.64x = 5,492,824,848.61
  5. Step 5: Solve for x
    x = 5,492,824,848.61/80,543.64
  6. Step 6: Final answer
    x = 68,196.88

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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.