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Finding the Fourth Proportional to 81,722.40, 112,770 and 45,909.60

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Solution

The fourth proportional to 81,722.40, 112,770 and 45,909.60 is: 63,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.40 : 112,770 = 45,909.60 : x
  2. Step 2: Convert to fraction form
    81,722.40/112,770 = 45,909.60/x
  3. Step 3: Cross multiply
    81,722.40x = 112,770 × 45,909.60
  4. Step 4: Simplify right side
    81,722.40x = 5,177,225,592
  5. Step 5: Solve for x
    x = 5,177,225,592/81,722.40
  6. Step 6: Final answer
    x = 63,351.37

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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.