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Finding the Fourth Proportional to 229,856.34, 317,200.78 and 127,891.56

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Solution

The fourth proportional to 229,856.34, 317,200.78 and 127,891.56 is: 176,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,856.34 : 317,200.78 = 127,891.56 : x
  2. Step 2: Convert to fraction form
    229,856.34/317,200.78 = 127,891.56/x
  3. Step 3: Cross multiply
    229,856.34x = 317,200.78 × 127,891.56
  4. Step 4: Simplify right side
    229,856.34x = 40,567,302,587.42
  5. Step 5: Solve for x
    x = 40,567,302,587.42/229,856.34
  6. Step 6: Final answer
    x = 176,489.81

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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.