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Finding the Fourth Proportional to 83,541.90, 115,293.93 and 47,731.14

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Solution

The fourth proportional to 83,541.90, 115,293.93 and 47,731.14 is: 65,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541.90 : 115,293.93 = 47,731.14 : x
  2. Step 2: Convert to fraction form
    83,541.90/115,293.93 = 47,731.14/x
  3. Step 3: Cross multiply
    83,541.90x = 115,293.93 × 47,731.14
  4. Step 4: Simplify right side
    83,541.90x = 5,503,110,713.98
  5. Step 5: Solve for x
    x = 5,503,110,713.98/83,541.90
  6. Step 6: Final answer
    x = 65,872.46

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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.