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Finding the Fourth Proportional to 229,610.32, 316,862 and 127,632.64

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Solution

The fourth proportional to 229,610.32, 316,862 and 127,632.64 is: 176,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,610.32 : 316,862 = 127,632.64 : x
  2. Step 2: Convert to fraction form
    229,610.32/316,862 = 127,632.64/x
  3. Step 3: Cross multiply
    229,610.32x = 316,862 × 127,632.64
  4. Step 4: Simplify right side
    229,610.32x = 40,441,933,575.68
  5. Step 5: Solve for x
    x = 40,441,933,575.68/229,610.32
  6. Step 6: Final answer
    x = 176,132.91

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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.