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Finding the Fourth Proportional to 123,728.60, 185,463.30 and 48,819.80

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Solution

The fourth proportional to 123,728.60, 185,463.30 and 48,819.80 is: 73,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,728.60 : 185,463.30 = 48,819.80 : x
  2. Step 2: Convert to fraction form
    123,728.60/185,463.30 = 48,819.80/x
  3. Step 3: Cross multiply
    123,728.60x = 185,463.30 × 48,819.80
  4. Step 4: Simplify right side
    123,728.60x = 9,054,281,213.34
  5. Step 5: Solve for x
    x = 9,054,281,213.34/123,728.60
  6. Step 6: Final answer
    x = 73,178.56

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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.