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Finding the Fourth Proportional to 220,763.20, 304,656.40 and 123,988

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Solution

The fourth proportional to 220,763.20, 304,656.40 and 123,988 is: 171,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,763.20 : 304,656.40 = 123,988 : x
  2. Step 2: Convert to fraction form
    220,763.20/304,656.40 = 123,988/x
  3. Step 3: Cross multiply
    220,763.20x = 304,656.40 × 123,988
  4. Step 4: Simplify right side
    220,763.20x = 37,773,737,723.20
  5. Step 5: Solve for x
    x = 37,773,737,723.20/220,763.20
  6. Step 6: Final answer
    x = 171,105.23

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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.