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Finding the Fourth Proportional to 229,150, 316,229.16 and 128,550.16

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Solution

The fourth proportional to 229,150, 316,229.16 and 128,550.16 is: 177,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,150 : 316,229.16 = 128,550.16 : x
  2. Step 2: Convert to fraction form
    229,150/316,229.16 = 128,550.16/x
  3. Step 3: Cross multiply
    229,150x = 316,229.16 × 128,550.16
  4. Step 4: Simplify right side
    229,150x = 40,651,309,114.67
  5. Step 5: Solve for x
    x = 40,651,309,114.67/229,150
  6. Step 6: Final answer
    x = 177,400.43

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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.