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Finding the Fourth Proportional to 252,074.70, 378,002.70 and 83,529.90

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Solution

The fourth proportional to 252,074.70, 378,002.70 and 83,529.90 is: 125,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,074.70 : 378,002.70 = 83,529.90 : x
  2. Step 2: Convert to fraction form
    252,074.70/378,002.70 = 83,529.90/x
  3. Step 3: Cross multiply
    252,074.70x = 378,002.70 × 83,529.90
  4. Step 4: Simplify right side
    252,074.70x = 31,574,527,730.73
  5. Step 5: Solve for x
    x = 31,574,527,730.73/252,074.70
  6. Step 6: Final answer
    x = 125,258.61

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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.