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Finding the Fourth Proportional to 215,856.80, 323,785.20 and 137,319.20

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Solution

The fourth proportional to 215,856.80, 323,785.20 and 137,319.20 is: 205,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856.80 : 323,785.20 = 137,319.20 : x
  2. Step 2: Convert to fraction form
    215,856.80/323,785.20 = 137,319.20/x
  3. Step 3: Cross multiply
    215,856.80x = 323,785.20 × 137,319.20
  4. Step 4: Simplify right side
    215,856.80x = 44,461,924,635.84
  5. Step 5: Solve for x
    x = 44,461,924,635.84/215,856.80
  6. Step 6: Final answer
    x = 205,978.80

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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.