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Finding the Fourth Proportional to 66,494, 91,770.24 and 38,205.20

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Solution

The fourth proportional to 66,494, 91,770.24 and 38,205.20 is: 52,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,494 : 91,770.24 = 38,205.20 : x
  2. Step 2: Convert to fraction form
    66,494/91,770.24 = 38,205.20/x
  3. Step 3: Cross multiply
    66,494x = 91,770.24 × 38,205.20
  4. Step 4: Simplify right side
    66,494x = 3,506,100,373.25
  5. Step 5: Solve for x
    x = 3,506,100,373.25/66,494
  6. Step 6: Final answer
    x = 52,728.07

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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.