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Finding the Fourth Proportional to 42,304, 63,456 and 17,680

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Solution

The fourth proportional to 42,304, 63,456 and 17,680 is: 26,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,304 : 63,456 = 17,680 : x
  2. Step 2: Convert to fraction form
    42,304/63,456 = 17,680/x
  3. Step 3: Cross multiply
    42,304x = 63,456 × 17,680
  4. Step 4: Simplify right side
    42,304x = 1,121,902,080
  5. Step 5: Solve for x
    x = 1,121,902,080/42,304
  6. Step 6: Final answer
    x = 26,520

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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.