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Finding the Fourth Proportional to 96,540.80, 144,811.20 and 73,212.80

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Solution

The fourth proportional to 96,540.80, 144,811.20 and 73,212.80 is: 109,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540.80 : 144,811.20 = 73,212.80 : x
  2. Step 2: Convert to fraction form
    96,540.80/144,811.20 = 73,212.80/x
  3. Step 3: Cross multiply
    96,540.80x = 144,811.20 × 73,212.80
  4. Step 4: Simplify right side
    96,540.80x = 10,602,033,423.36
  5. Step 5: Solve for x
    x = 10,602,033,423.36/96,540.80
  6. Step 6: Final answer
    x = 109,819.20

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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.