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Finding the Fourth Proportional to 71,516.52, 98,704.53 and 39,695.64

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Solution

The fourth proportional to 71,516.52, 98,704.53 and 39,695.64 is: 54,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,516.52 : 98,704.53 = 39,695.64 : x
  2. Step 2: Convert to fraction form
    71,516.52/98,704.53 = 39,695.64/x
  3. Step 3: Cross multiply
    71,516.52x = 98,704.53 × 39,695.64
  4. Step 4: Simplify right side
    71,516.52x = 3,918,139,489.25
  5. Step 5: Solve for x
    x = 3,918,139,489.25/71,516.52
  6. Step 6: Final answer
    x = 54,786.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.