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Finding the Fourth Proportional to 229,142, 316,218.12 and 128,542.16

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Solution

The fourth proportional to 229,142, 316,218.12 and 128,542.16 is: 177,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,142 : 316,218.12 = 128,542.16 : x
  2. Step 2: Convert to fraction form
    229,142/316,218.12 = 128,542.16/x
  3. Step 3: Cross multiply
    229,142x = 316,218.12 × 128,542.16
  4. Step 4: Simplify right side
    229,142x = 40,647,360,175.94
  5. Step 5: Solve for x
    x = 40,647,360,175.94/229,142
  6. Step 6: Final answer
    x = 177,389.39

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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.