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Finding the Fourth Proportional to 83,143.89, 114,736.16 and 45,418.14

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Solution

The fourth proportional to 83,143.89, 114,736.16 and 45,418.14 is: 62,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.89 : 114,736.16 = 45,418.14 : x
  2. Step 2: Convert to fraction form
    83,143.89/114,736.16 = 45,418.14/x
  3. Step 3: Cross multiply
    83,143.89x = 114,736.16 × 45,418.14
  4. Step 4: Simplify right side
    83,143.89x = 5,211,103,091.49
  5. Step 5: Solve for x
    x = 5,211,103,091.49/83,143.89
  6. Step 6: Final answer
    x = 62,675.72

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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.