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Finding the Fourth Proportional to 136,632.87, 188,568.14 and 82,920.15

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Solution

The fourth proportional to 136,632.87, 188,568.14 and 82,920.15 is: 114,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,632.87 : 188,568.14 = 82,920.15 : x
  2. Step 2: Convert to fraction form
    136,632.87/188,568.14 = 82,920.15/x
  3. Step 3: Cross multiply
    136,632.87x = 188,568.14 × 82,920.15
  4. Step 4: Simplify right side
    136,632.87x = 15,636,098,039.42
  5. Step 5: Solve for x
    x = 15,636,098,039.42/136,632.87
  6. Step 6: Final answer
    x = 114,438.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.