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Finding the Fourth Proportional to 125,195, 172,769.28 and 74,894

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Solution

The fourth proportional to 125,195, 172,769.28 and 74,894 is: 103,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,195 : 172,769.28 = 74,894 : x
  2. Step 2: Convert to fraction form
    125,195/172,769.28 = 74,894/x
  3. Step 3: Cross multiply
    125,195x = 172,769.28 × 74,894
  4. Step 4: Simplify right side
    125,195x = 12,939,382,456.32
  5. Step 5: Solve for x
    x = 12,939,382,456.32/125,195
  6. Step 6: Final answer
    x = 103,353.83

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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.