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Finding the Fourth Proportional to 102,101.20, 152,806.20 and 89,659.60

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Solution

The fourth proportional to 102,101.20, 152,806.20 and 89,659.60 is: 134,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.20 : 152,806.20 = 89,659.60 : x
  2. Step 2: Convert to fraction form
    102,101.20/152,806.20 = 89,659.60/x
  3. Step 3: Cross multiply
    102,101.20x = 152,806.20 × 89,659.60
  4. Step 4: Simplify right side
    102,101.20x = 13,700,542,769.52
  5. Step 5: Solve for x
    x = 13,700,542,769.52/102,101.20
  6. Step 6: Final answer
    x = 134,185.91

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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.