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Finding the Fourth Proportional to 211,049.38, 316,578.12 and 77,861.08

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Solution

The fourth proportional to 211,049.38, 316,578.12 and 77,861.08 is: 116,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,049.38 : 316,578.12 = 77,861.08 : x
  2. Step 2: Convert to fraction form
    211,049.38/316,578.12 = 77,861.08/x
  3. Step 3: Cross multiply
    211,049.38x = 316,578.12 × 77,861.08
  4. Step 4: Simplify right side
    211,049.38x = 24,649,114,327.57
  5. Step 5: Solve for x
    x = 24,649,114,327.57/211,049.38
  6. Step 6: Final answer
    x = 116,793.11

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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.