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Finding the Fourth Proportional to 71,002.37, 97,983.87 and 39,173.42

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Solution

The fourth proportional to 71,002.37, 97,983.87 and 39,173.42 is: 54,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002.37 : 97,983.87 = 39,173.42 : x
  2. Step 2: Convert to fraction form
    71,002.37/97,983.87 = 39,173.42/x
  3. Step 3: Cross multiply
    71,002.37x = 97,983.87 × 39,173.42
  4. Step 4: Simplify right side
    71,002.37x = 3,838,363,292.74
  5. Step 5: Solve for x
    x = 3,838,363,292.74/71,002.37
  6. Step 6: Final answer
    x = 54,059.65

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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.