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Finding the Fourth Proportional to 229,147, 316,223.96 and 128,545

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Solution

The fourth proportional to 229,147, 316,223.96 and 128,545 is: 177,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,147 : 316,223.96 = 128,545 : x
  2. Step 2: Convert to fraction form
    229,147/316,223.96 = 128,545/x
  3. Step 3: Cross multiply
    229,147x = 316,223.96 × 128,545
  4. Step 4: Simplify right side
    229,147x = 40,649,008,938.20
  5. Step 5: Solve for x
    x = 40,649,008,938.20/229,147
  6. Step 6: Final answer
    x = 177,392.72

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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.