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Finding the Fourth Proportional to 229,067.52, 316,128.96 and 128,472

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Solution

The fourth proportional to 229,067.52, 316,128.96 and 128,472 is: 177,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,067.52 : 316,128.96 = 128,472 : x
  2. Step 2: Convert to fraction form
    229,067.52/316,128.96 = 128,472/x
  3. Step 3: Cross multiply
    229,067.52x = 316,128.96 × 128,472
  4. Step 4: Simplify right side
    229,067.52x = 40,613,719,749.12
  5. Step 5: Solve for x
    x = 40,613,719,749.12/229,067.52
  6. Step 6: Final answer
    x = 177,300.21

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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.