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Finding the Fourth Proportional to 231,719.28, 347,604.84 and 65,520.24

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Solution

The fourth proportional to 231,719.28, 347,604.84 and 65,520.24 is: 98,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,719.28 : 347,604.84 = 65,520.24 : x
  2. Step 2: Convert to fraction form
    231,719.28/347,604.84 = 65,520.24/x
  3. Step 3: Cross multiply
    231,719.28x = 347,604.84 × 65,520.24
  4. Step 4: Simplify right side
    231,719.28x = 22,775,152,541.96
  5. Step 5: Solve for x
    x = 22,775,152,541.96/231,719.28
  6. Step 6: Final answer
    x = 98,287.69

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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.