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Finding the Fourth Proportional to 77,462.56, 116,115.54 and 52,505.20

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Solution

The fourth proportional to 77,462.56, 116,115.54 and 52,505.20 is: 78,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,462.56 : 116,115.54 = 52,505.20 : x
  2. Step 2: Convert to fraction form
    77,462.56/116,115.54 = 52,505.20/x
  3. Step 3: Cross multiply
    77,462.56x = 116,115.54 × 52,505.20
  4. Step 4: Simplify right side
    77,462.56x = 6,096,669,650.81
  5. Step 5: Solve for x
    x = 6,096,669,650.81/77,462.56
  6. Step 6: Final answer
    x = 78,704.73

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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.