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Finding the Fourth Proportional to 77,123.60, 115,728.60 and 32,742.80

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Solution

The fourth proportional to 77,123.60, 115,728.60 and 32,742.80 is: 49,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,123.60 : 115,728.60 = 32,742.80 : x
  2. Step 2: Convert to fraction form
    77,123.60/115,728.60 = 32,742.80/x
  3. Step 3: Cross multiply
    77,123.60x = 115,728.60 × 32,742.80
  4. Step 4: Simplify right side
    77,123.60x = 3,789,278,404.08
  5. Step 5: Solve for x
    x = 3,789,278,404.08/77,123.60
  6. Step 6: Final answer
    x = 49,132.54

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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.