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Finding the Fourth Proportional to 71,727.70, 98,916.27 and 45,894.43

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Solution

The fourth proportional to 71,727.70, 98,916.27 and 45,894.43 is: 63,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,727.70 : 98,916.27 = 45,894.43 : x
  2. Step 2: Convert to fraction form
    71,727.70/98,916.27 = 45,894.43/x
  3. Step 3: Cross multiply
    71,727.70x = 98,916.27 × 45,894.43
  4. Step 4: Simplify right side
    71,727.70x = 4,539,705,829.38
  5. Step 5: Solve for x
    x = 4,539,705,829.38/71,727.70
  6. Step 6: Final answer
    x = 63,290.83

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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.