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Finding the Fourth Proportional to 158,575.62, 218,949.20 and 102,085.41

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Solution

The fourth proportional to 158,575.62, 218,949.20 and 102,085.41 is: 140,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,575.62 : 218,949.20 = 102,085.41 : x
  2. Step 2: Convert to fraction form
    158,575.62/218,949.20 = 102,085.41/x
  3. Step 3: Cross multiply
    158,575.62x = 218,949.20 × 102,085.41
  4. Step 4: Simplify right side
    158,575.62x = 22,351,518,340.75
  5. Step 5: Solve for x
    x = 22,351,518,340.75/158,575.62
  6. Step 6: Final answer
    x = 140,951.80

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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.