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Finding the Fourth Proportional to 82,894.40, 124,471.20 and 47,902.40

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Solution

The fourth proportional to 82,894.40, 124,471.20 and 47,902.40 is: 71,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.40 : 124,471.20 = 47,902.40 : x
  2. Step 2: Convert to fraction form
    82,894.40/124,471.20 = 47,902.40/x
  3. Step 3: Cross multiply
    82,894.40x = 124,471.20 × 47,902.40
  4. Step 4: Simplify right side
    82,894.40x = 5,962,469,210.88
  5. Step 5: Solve for x
    x = 5,962,469,210.88/82,894.40
  6. Step 6: Final answer
    x = 71,928.49

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