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Finding the Fourth Proportional to 218,680.92, 328,065.84 and 83,735.40

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Solution

The fourth proportional to 218,680.92, 328,065.84 and 83,735.40 is: 125,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,680.92 : 328,065.84 = 83,735.40 : x
  2. Step 2: Convert to fraction form
    218,680.92/328,065.84 = 83,735.40/x
  3. Step 3: Cross multiply
    218,680.92x = 328,065.84 × 83,735.40
  4. Step 4: Simplify right side
    218,680.92x = 27,470,724,338.74
  5. Step 5: Solve for x
    x = 27,470,724,338.74/218,680.92
  6. Step 6: Final answer
    x = 125,620.12

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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.