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Finding the Fourth Proportional to 81,387.60, 122,069.70 and 31,491.24

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Solution

The fourth proportional to 81,387.60, 122,069.70 and 31,491.24 is: 47,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,387.60 : 122,069.70 = 31,491.24 : x
  2. Step 2: Convert to fraction form
    81,387.60/122,069.70 = 31,491.24/x
  3. Step 3: Cross multiply
    81,387.60x = 122,069.70 × 31,491.24
  4. Step 4: Simplify right side
    81,387.60x = 3,844,126,219.43
  5. Step 5: Solve for x
    x = 3,844,126,219.43/81,387.60
  6. Step 6: Final answer
    x = 47,232.33

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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.