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Finding the Fourth Proportional to 131,114, 180,939.48 and 71,498

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Solution

The fourth proportional to 131,114, 180,939.48 and 71,498 is: 98,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,114 : 180,939.48 = 71,498 : x
  2. Step 2: Convert to fraction form
    131,114/180,939.48 = 71,498/x
  3. Step 3: Cross multiply
    131,114x = 180,939.48 × 71,498
  4. Step 4: Simplify right side
    131,114x = 12,936,810,941.04
  5. Step 5: Solve for x
    x = 12,936,810,941.04/131,114
  6. Step 6: Final answer
    x = 98,668.42

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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.