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Finding the Fourth Proportional to 83,486.68, 115,213.62 and 45,763

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Solution

The fourth proportional to 83,486.68, 115,213.62 and 45,763 is: 63,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486.68 : 115,213.62 = 45,763 : x
  2. Step 2: Convert to fraction form
    83,486.68/115,213.62 = 45,763/x
  3. Step 3: Cross multiply
    83,486.68x = 115,213.62 × 45,763
  4. Step 4: Simplify right side
    83,486.68x = 5,272,520,892.06
  5. Step 5: Solve for x
    x = 5,272,520,892.06/83,486.68
  6. Step 6: Final answer
    x = 63,154.04

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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.