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Finding the Fourth Proportional to 66,728.62, 100,081.40 and 31,193.16

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Solution

The fourth proportional to 66,728.62, 100,081.40 and 31,193.16 is: 46,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,728.62 : 100,081.40 = 31,193.16 : x
  2. Step 2: Convert to fraction form
    66,728.62/100,081.40 = 31,193.16/x
  3. Step 3: Cross multiply
    66,728.62x = 100,081.40 × 31,193.16
  4. Step 4: Simplify right side
    66,728.62x = 3,121,855,123.22
  5. Step 5: Solve for x
    x = 3,121,855,123.22/66,728.62
  6. Step 6: Final answer
    x = 46,784.35

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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.