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Finding the Fourth Proportional to 83,368.92, 115,049.11 and 45,643.17

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Solution

The fourth proportional to 83,368.92, 115,049.11 and 45,643.17 is: 62,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,368.92 : 115,049.11 = 45,643.17 : x
  2. Step 2: Convert to fraction form
    83,368.92/115,049.11 = 45,643.17/x
  3. Step 3: Cross multiply
    83,368.92x = 115,049.11 × 45,643.17
  4. Step 4: Simplify right side
    83,368.92x = 5,251,206,086.08
  5. Step 5: Solve for x
    x = 5,251,206,086.08/83,368.92
  6. Step 6: Final answer
    x = 62,987.57

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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.