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Finding the Fourth Proportional to 83,072, 114,691.20 and 53,315.84

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Solution

The fourth proportional to 83,072, 114,691.20 and 53,315.84 is: 73,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072 : 114,691.20 = 53,315.84 : x
  2. Step 2: Convert to fraction form
    83,072/114,691.20 = 53,315.84/x
  3. Step 3: Cross multiply
    83,072x = 114,691.20 × 53,315.84
  4. Step 4: Simplify right side
    83,072x = 6,114,857,668.61
  5. Step 5: Solve for x
    x = 6,114,857,668.61/83,072
  6. Step 6: Final answer
    x = 73,609.13

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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.