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Finding the Fourth Proportional to 86,715.52, 130,102.32 and 36,793.60

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Solution

The fourth proportional to 86,715.52, 130,102.32 and 36,793.60 is: 55,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,715.52 : 130,102.32 = 36,793.60 : x
  2. Step 2: Convert to fraction form
    86,715.52/130,102.32 = 36,793.60/x
  3. Step 3: Cross multiply
    86,715.52x = 130,102.32 × 36,793.60
  4. Step 4: Simplify right side
    86,715.52x = 4,786,932,721.15
  5. Step 5: Solve for x
    x = 4,786,932,721.15/86,715.52
  6. Step 6: Final answer
    x = 55,202.72

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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.