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Finding the Fourth Proportional to 66,434, 91,678.92 and 36,626

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Solution

The fourth proportional to 66,434, 91,678.92 and 36,626 is: 50,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,434 : 91,678.92 = 36,626 : x
  2. Step 2: Convert to fraction form
    66,434/91,678.92 = 36,626/x
  3. Step 3: Cross multiply
    66,434x = 91,678.92 × 36,626
  4. Step 4: Simplify right side
    66,434x = 3,357,832,123.92
  5. Step 5: Solve for x
    x = 3,357,832,123.92/66,434
  6. Step 6: Final answer
    x = 50,543.88

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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.