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Finding the Fourth Proportional to 229,142.75, 316,219.16 and 128,542.91

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Solution

The fourth proportional to 229,142.75, 316,219.16 and 128,542.91 is: 177,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,142.75 : 316,219.16 = 128,542.91 : x
  2. Step 2: Convert to fraction form
    229,142.75/316,219.16 = 128,542.91/x
  3. Step 3: Cross multiply
    229,142.75x = 316,219.16 × 128,542.91
  4. Step 4: Simplify right side
    229,142.75x = 40,647,731,024.16
  5. Step 5: Solve for x
    x = 40,647,731,024.16/229,142.75
  6. Step 6: Final answer
    x = 177,390.43

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1.5x scale

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.