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Finding the Fourth Proportional to 152,708.60, 229,235.70 and 90,414.20

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Solution

The fourth proportional to 152,708.60, 229,235.70 and 90,414.20 is: 135,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,708.60 : 229,235.70 = 90,414.20 : x
  2. Step 2: Convert to fraction form
    152,708.60/229,235.70 = 90,414.20/x
  3. Step 3: Cross multiply
    152,708.60x = 229,235.70 × 90,414.20
  4. Step 4: Simplify right side
    152,708.60x = 20,726,162,426.94
  5. Step 5: Solve for x
    x = 20,726,162,426.94/152,708.60
  6. Step 6: Final answer
    x = 135,723.61

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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.