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Finding the Fourth Proportional to 61,378.80, 91,938.60 and 54,812.40

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Solution

The fourth proportional to 61,378.80, 91,938.60 and 54,812.40 is: 82,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378.80 : 91,938.60 = 54,812.40 : x
  2. Step 2: Convert to fraction form
    61,378.80/91,938.60 = 54,812.40/x
  3. Step 3: Cross multiply
    61,378.80x = 91,938.60 × 54,812.40
  4. Step 4: Simplify right side
    61,378.80x = 5,039,375,318.64
  5. Step 5: Solve for x
    x = 5,039,375,318.64/61,378.80
  6. Step 6: Final answer
    x = 82,102.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.