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Finding the Fourth Proportional to 66,471.63, 91,730.91 and 38,182.78

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Solution

The fourth proportional to 66,471.63, 91,730.91 and 38,182.78 is: 52,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,471.63 : 91,730.91 = 38,182.78 : x
  2. Step 2: Convert to fraction form
    66,471.63/91,730.91 = 38,182.78/x
  3. Step 3: Cross multiply
    66,471.63x = 91,730.91 × 38,182.78
  4. Step 4: Simplify right side
    66,471.63x = 3,502,541,155.73
  5. Step 5: Solve for x
    x = 3,502,541,155.73/66,471.63
  6. Step 6: Final answer
    x = 52,692.27

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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.