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Finding the Fourth Proportional to 131,132, 180,963.12 and 71,516

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Solution

The fourth proportional to 131,132, 180,963.12 and 71,516 is: 98,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,132 : 180,963.12 = 71,516 : x
  2. Step 2: Convert to fraction form
    131,132/180,963.12 = 71,516/x
  3. Step 3: Cross multiply
    131,132x = 180,963.12 × 71,516
  4. Step 4: Simplify right side
    131,132x = 12,941,758,489.92
  5. Step 5: Solve for x
    x = 12,941,758,489.92/131,132
  6. Step 6: Final answer
    x = 98,692.60

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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.