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Finding the Fourth Proportional to 96,815.20, 145,222.80 and 89,816.80

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Solution

The fourth proportional to 96,815.20, 145,222.80 and 89,816.80 is: 134,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,815.20 : 145,222.80 = 89,816.80 : x
  2. Step 2: Convert to fraction form
    96,815.20/145,222.80 = 89,816.80/x
  3. Step 3: Cross multiply
    96,815.20x = 145,222.80 × 89,816.80
  4. Step 4: Simplify right side
    96,815.20x = 13,043,447,183.04
  5. Step 5: Solve for x
    x = 13,043,447,183.04/96,815.20
  6. Step 6: Final answer
    x = 134,725.20

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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.