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Finding the Fourth Proportional to 274,708.80, 412,061.76 and 87,716.16

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Solution

The fourth proportional to 274,708.80, 412,061.76 and 87,716.16 is: 131,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,708.80 : 412,061.76 = 87,716.16 : x
  2. Step 2: Convert to fraction form
    274,708.80/412,061.76 = 87,716.16/x
  3. Step 3: Cross multiply
    274,708.80x = 412,061.76 × 87,716.16
  4. Step 4: Simplify right side
    274,708.80x = 36,144,475,270.04
  5. Step 5: Solve for x
    x = 36,144,475,270.04/274,708.80
  6. Step 6: Final answer
    x = 131,573.78

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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.