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Finding the Fourth Proportional to 83,417.64, 115,115.76 and 45,691.08

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Solution

The fourth proportional to 83,417.64, 115,115.76 and 45,691.08 is: 63,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,417.64 : 115,115.76 = 45,691.08 : x
  2. Step 2: Convert to fraction form
    83,417.64/115,115.76 = 45,691.08/x
  3. Step 3: Cross multiply
    83,417.64x = 115,115.76 × 45,691.08
  4. Step 4: Simplify right side
    83,417.64x = 5,259,763,399.42
  5. Step 5: Solve for x
    x = 5,259,763,399.42/83,417.64
  6. Step 6: Final answer
    x = 63,053.37

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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.