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Finding the Fourth Proportional to 81,861.25, 122,812.31 and 28,554

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Solution

The fourth proportional to 81,861.25, 122,812.31 and 28,554 is: 42,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.25 : 122,812.31 = 28,554 : x
  2. Step 2: Convert to fraction form
    81,861.25/122,812.31 = 28,554/x
  3. Step 3: Cross multiply
    81,861.25x = 122,812.31 × 28,554
  4. Step 4: Simplify right side
    81,861.25x = 3,506,782,699.74
  5. Step 5: Solve for x
    x = 3,506,782,699.74/81,861.25
  6. Step 6: Final answer
    x = 42,838.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.