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Finding the Fourth Proportional to 83,414.62, 115,111.29 and 45,173.53

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Solution

The fourth proportional to 83,414.62, 115,111.29 and 45,173.53 is: 62,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,414.62 : 115,111.29 = 45,173.53 : x
  2. Step 2: Convert to fraction form
    83,414.62/115,111.29 = 45,173.53/x
  3. Step 3: Cross multiply
    83,414.62x = 115,111.29 × 45,173.53
  4. Step 4: Simplify right side
    83,414.62x = 5,199,983,312.15
  5. Step 5: Solve for x
    x = 5,199,983,312.15/83,414.62
  6. Step 6: Final answer
    x = 62,338.99

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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.