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Finding the Fourth Proportional to 83,165.34, 114,819.02 and 54,121.38

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Solution

The fourth proportional to 83,165.34, 114,819.02 and 54,121.38 is: 74,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.34 : 114,819.02 = 54,121.38 : x
  2. Step 2: Convert to fraction form
    83,165.34/114,819.02 = 54,121.38/x
  3. Step 3: Cross multiply
    83,165.34x = 114,819.02 × 54,121.38
  4. Step 4: Simplify right side
    83,165.34x = 6,214,163,812.65
  5. Step 5: Solve for x
    x = 6,214,163,812.65/83,165.34
  6. Step 6: Final answer
    x = 74,720.60

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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.