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Finding the Fourth Proportional to 71,004.92, 97,986.12 and 39,174.08

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Solution

The fourth proportional to 71,004.92, 97,986.12 and 39,174.08 is: 54,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004.92 : 97,986.12 = 39,174.08 : x
  2. Step 2: Convert to fraction form
    71,004.92/97,986.12 = 39,174.08/x
  3. Step 3: Cross multiply
    71,004.92x = 97,986.12 × 39,174.08
  4. Step 4: Simplify right side
    71,004.92x = 3,838,516,103.77
  5. Step 5: Solve for x
    x = 3,838,516,103.77/71,004.92
  6. Step 6: Final answer
    x = 54,059.86

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1.5x scale

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.