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Finding the Fourth Proportional to 83,442, 115,149.60 and 45,715.44

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Solution

The fourth proportional to 83,442, 115,149.60 and 45,715.44 is: 63,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442 : 115,149.60 = 45,715.44 : x
  2. Step 2: Convert to fraction form
    83,442/115,149.60 = 45,715.44/x
  3. Step 3: Cross multiply
    83,442x = 115,149.60 × 45,715.44
  4. Step 4: Simplify right side
    83,442x = 5,264,114,629.82
  5. Step 5: Solve for x
    x = 5,264,114,629.82/83,442
  6. Step 6: Final answer
    x = 63,087.11

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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.