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Finding the Fourth Proportional to 229,147.31, 316,223.29 and 128,545.31

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Solution

The fourth proportional to 229,147.31, 316,223.29 and 128,545.31 is: 177,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,147.31 : 316,223.29 = 128,545.31 : x
  2. Step 2: Convert to fraction form
    229,147.31/316,223.29 = 128,545.31/x
  3. Step 3: Cross multiply
    229,147.31x = 316,223.29 × 128,545.31
  4. Step 4: Simplify right side
    229,147.31x = 40,649,021,793.51
  5. Step 5: Solve for x
    x = 40,649,021,793.51/229,147.31
  6. Step 6: Final answer
    x = 177,392.53

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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.