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Finding the Fourth Proportional to 203,284.65, 280,800.36 and 156,120.78

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Solution

The fourth proportional to 203,284.65, 280,800.36 and 156,120.78 is: 215,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,284.65 : 280,800.36 = 156,120.78 : x
  2. Step 2: Convert to fraction form
    203,284.65/280,800.36 = 156,120.78/x
  3. Step 3: Cross multiply
    203,284.65x = 280,800.36 × 156,120.78
  4. Step 4: Simplify right side
    203,284.65x = 43,838,771,227.48
  5. Step 5: Solve for x
    x = 43,838,771,227.48/203,284.65
  6. Step 6: Final answer
    x = 215,652.15

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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.