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Finding the Fourth Proportional to 131,876, 197,823.12 and 52,990.16

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Solution

The fourth proportional to 131,876, 197,823.12 and 52,990.16 is: 79,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,876 : 197,823.12 = 52,990.16 : x
  2. Step 2: Convert to fraction form
    131,876/197,823.12 = 52,990.16/x
  3. Step 3: Cross multiply
    131,876x = 197,823.12 × 52,990.16
  4. Step 4: Simplify right side
    131,876x = 10,482,678,780.50
  5. Step 5: Solve for x
    x = 10,482,678,780.50/131,876
  6. Step 6: Final answer
    x = 79,488.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.