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Finding the Fourth Proportional to 175,879, 242,757.30 and 100,471.24

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Solution

The fourth proportional to 175,879, 242,757.30 and 100,471.24 is: 138,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,879 : 242,757.30 = 100,471.24 : x
  2. Step 2: Convert to fraction form
    175,879/242,757.30 = 100,471.24/x
  3. Step 3: Cross multiply
    175,879x = 242,757.30 × 100,471.24
  4. Step 4: Simplify right side
    175,879x = 24,390,126,950.05
  5. Step 5: Solve for x
    x = 24,390,126,950.05/175,879
  6. Step 6: Final answer
    x = 138,675.61

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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.