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Finding the Fourth Proportional to 66,412, 91,654.32 and 36,609.76

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Solution

The fourth proportional to 66,412, 91,654.32 and 36,609.76 is: 50,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,412 : 91,654.32 = 36,609.76 : x
  2. Step 2: Convert to fraction form
    66,412/91,654.32 = 36,609.76/x
  3. Step 3: Cross multiply
    66,412x = 91,654.32 × 36,609.76
  4. Step 4: Simplify right side
    66,412x = 3,355,442,658.16
  5. Step 5: Solve for x
    x = 3,355,442,658.16/66,412
  6. Step 6: Final answer
    x = 50,524.64

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1.5x scale

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.