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Finding the Fourth Proportional to 125,203.84, 172,781.80 and 67,843.28

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Solution

The fourth proportional to 125,203.84, 172,781.80 and 67,843.28 is: 93,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,203.84 : 172,781.80 = 67,843.28 : x
  2. Step 2: Convert to fraction form
    125,203.84/172,781.80 = 67,843.28/x
  3. Step 3: Cross multiply
    125,203.84x = 172,781.80 × 67,843.28
  4. Step 4: Simplify right side
    125,203.84x = 11,722,084,036.30
  5. Step 5: Solve for x
    x = 11,722,084,036.30/125,203.84
  6. Step 6: Final answer
    x = 93,624.00

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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.