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Finding the Fourth Proportional to 229,645.31, 316,892.57 and 127,664.56

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Solution

The fourth proportional to 229,645.31, 316,892.57 and 127,664.56 is: 176,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,645.31 : 316,892.57 = 127,664.56 : x
  2. Step 2: Convert to fraction form
    229,645.31/316,892.57 = 127,664.56/x
  3. Step 3: Cross multiply
    229,645.31x = 316,892.57 × 127,664.56
  4. Step 4: Simplify right side
    229,645.31x = 40,455,950,516.32
  5. Step 5: Solve for x
    x = 40,455,950,516.32/229,645.31
  6. Step 6: Final answer
    x = 176,167.11

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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.