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Finding the Fourth Proportional to 66,354.66, 91,568.34 and 36,139.50

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Solution

The fourth proportional to 66,354.66, 91,568.34 and 36,139.50 is: 49,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354.66 : 91,568.34 = 36,139.50 : x
  2. Step 2: Convert to fraction form
    66,354.66/91,568.34 = 36,139.50/x
  3. Step 3: Cross multiply
    66,354.66x = 91,568.34 × 36,139.50
  4. Step 4: Simplify right side
    66,354.66x = 3,309,234,023.43
  5. Step 5: Solve for x
    x = 3,309,234,023.43/66,354.66
  6. Step 6: Final answer
    x = 49,871.92

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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.