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Finding the Fourth Proportional to 83,382.30, 115,066.42 and 45,656.55

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Solution

The fourth proportional to 83,382.30, 115,066.42 and 45,656.55 is: 63,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.30 : 115,066.42 = 45,656.55 : x
  2. Step 2: Convert to fraction form
    83,382.30/115,066.42 = 45,656.55/x
  3. Step 3: Cross multiply
    83,382.30x = 115,066.42 × 45,656.55
  4. Step 4: Simplify right side
    83,382.30x = 5,253,535,758.05
  5. Step 5: Solve for x
    x = 5,253,535,758.05/83,382.30
  6. Step 6: Final answer
    x = 63,005.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.