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Finding the Fourth Proportional to 229,110, 316,176.12 and 128,514.48

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Solution

The fourth proportional to 229,110, 316,176.12 and 128,514.48 is: 177,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,110 : 316,176.12 = 128,514.48 : x
  2. Step 2: Convert to fraction form
    229,110/316,176.12 = 128,514.48/x
  3. Step 3: Cross multiply
    229,110x = 316,176.12 × 128,514.48
  4. Step 4: Simplify right side
    229,110x = 40,633,209,650.22
  5. Step 5: Solve for x
    x = 40,633,209,650.22/229,110
  6. Step 6: Final answer
    x = 177,352.41

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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.