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Finding the Fourth Proportional to 67,728.30, 101,748.18 and 47,783.68

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Solution

The fourth proportional to 67,728.30, 101,748.18 and 47,783.68 is: 71,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,728.30 : 101,748.18 = 47,783.68 : x
  2. Step 2: Convert to fraction form
    67,728.30/101,748.18 = 47,783.68/x
  3. Step 3: Cross multiply
    67,728.30x = 101,748.18 × 47,783.68
  4. Step 4: Simplify right side
    67,728.30x = 4,861,902,473.70
  5. Step 5: Solve for x
    x = 4,861,902,473.70/67,728.30
  6. Step 6: Final answer
    x = 71,785.39

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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.