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Finding the Fourth Proportional to 252,932.65, 349,042.84 and 138,208.77

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Solution

The fourth proportional to 252,932.65, 349,042.84 and 138,208.77 is: 190,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,932.65 : 349,042.84 = 138,208.77 : x
  2. Step 2: Convert to fraction form
    252,932.65/349,042.84 = 138,208.77/x
  3. Step 3: Cross multiply
    252,932.65x = 349,042.84 × 138,208.77
  4. Step 4: Simplify right side
    252,932.65x = 48,240,781,248.18
  5. Step 5: Solve for x
    x = 48,240,781,248.18/252,932.65
  6. Step 6: Final answer
    x = 190,725.80

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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.