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Finding the Fourth Proportional to 225,678.64, 338,479.60 and 67,870.12

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Solution

The fourth proportional to 225,678.64, 338,479.60 and 67,870.12 is: 101,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,678.64 : 338,479.60 = 67,870.12 : x
  2. Step 2: Convert to fraction form
    225,678.64/338,479.60 = 67,870.12/x
  3. Step 3: Cross multiply
    225,678.64x = 338,479.60 × 67,870.12
  4. Step 4: Simplify right side
    225,678.64x = 22,972,651,069.55
  5. Step 5: Solve for x
    x = 22,972,651,069.55/225,678.64
  6. Step 6: Final answer
    x = 101,793.64

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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.