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Finding the Fourth Proportional to 215,221.68, 322,763.04 and 78,425.28

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Solution

The fourth proportional to 215,221.68, 322,763.04 and 78,425.28 is: 117,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,221.68 : 322,763.04 = 78,425.28 : x
  2. Step 2: Convert to fraction form
    215,221.68/322,763.04 = 78,425.28/x
  3. Step 3: Cross multiply
    215,221.68x = 322,763.04 × 78,425.28
  4. Step 4: Simplify right side
    215,221.68x = 25,312,781,785.65
  5. Step 5: Solve for x
    x = 25,312,781,785.65/215,221.68
  6. Step 6: Final answer
    x = 117,612.60

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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.