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Finding the Fourth Proportional to 71,031.60, 106,328.70 and 58,347

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Solution

The fourth proportional to 71,031.60, 106,328.70 and 58,347 is: 87,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,031.60 : 106,328.70 = 58,347 : x
  2. Step 2: Convert to fraction form
    71,031.60/106,328.70 = 58,347/x
  3. Step 3: Cross multiply
    71,031.60x = 106,328.70 × 58,347
  4. Step 4: Simplify right side
    71,031.60x = 6,203,960,658.90
  5. Step 5: Solve for x
    x = 6,203,960,658.90/71,031.60
  6. Step 6: Final answer
    x = 87,340.85

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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.