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Finding the Fourth Proportional to 125,218.26, 172,801.89 and 67,857.84

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Solution

The fourth proportional to 125,218.26, 172,801.89 and 67,857.84 is: 93,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,218.26 : 172,801.89 = 67,857.84 : x
  2. Step 2: Convert to fraction form
    125,218.26/172,801.89 = 67,857.84/x
  3. Step 3: Cross multiply
    125,218.26x = 172,801.89 × 67,857.84
  4. Step 4: Simplify right side
    125,218.26x = 11,725,963,003.32
  5. Step 5: Solve for x
    x = 11,725,963,003.32/125,218.26
  6. Step 6: Final answer
    x = 93,644.19

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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.