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Finding the Fourth Proportional to 275,186.88, 412,780.88 and 75,510

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Solution

The fourth proportional to 275,186.88, 412,780.88 and 75,510 is: 113,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,186.88 : 412,780.88 = 75,510 : x
  2. Step 2: Convert to fraction form
    275,186.88/412,780.88 = 75,510/x
  3. Step 3: Cross multiply
    275,186.88x = 412,780.88 × 75,510
  4. Step 4: Simplify right side
    275,186.88x = 31,169,084,248.80
  5. Step 5: Solve for x
    x = 31,169,084,248.80/275,186.88
  6. Step 6: Final answer
    x = 113,265.15

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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.