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Finding the Fourth Proportional to 81,711.40, 122,639.10 and 48,389.80

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Solution

The fourth proportional to 81,711.40, 122,639.10 and 48,389.80 is: 72,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.40 : 122,639.10 = 48,389.80 : x
  2. Step 2: Convert to fraction form
    81,711.40/122,639.10 = 48,389.80/x
  3. Step 3: Cross multiply
    81,711.40x = 122,639.10 × 48,389.80
  4. Step 4: Simplify right side
    81,711.40x = 5,934,481,521.18
  5. Step 5: Solve for x
    x = 5,934,481,521.18/81,711.40
  6. Step 6: Final answer
    x = 72,627.34

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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.