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Finding the Fourth Proportional to 66,616.32, 99,956.88 and 31,514.16

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Solution

The fourth proportional to 66,616.32, 99,956.88 and 31,514.16 is: 47,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,616.32 : 99,956.88 = 31,514.16 : x
  2. Step 2: Convert to fraction form
    66,616.32/99,956.88 = 31,514.16/x
  3. Step 3: Cross multiply
    66,616.32x = 99,956.88 × 31,514.16
  4. Step 4: Simplify right side
    66,616.32x = 3,150,057,109.42
  5. Step 5: Solve for x
    x = 3,150,057,109.42/66,616.32
  6. Step 6: Final answer
    x = 47,286.57

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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.