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Finding the Fourth Proportional to 229,789.50, 317,109.51 and 129,188.22

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Solution

The fourth proportional to 229,789.50, 317,109.51 and 129,188.22 is: 178,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,789.50 : 317,109.51 = 129,188.22 : x
  2. Step 2: Convert to fraction form
    229,789.50/317,109.51 = 129,188.22/x
  3. Step 3: Cross multiply
    229,789.50x = 317,109.51 × 129,188.22
  4. Step 4: Simplify right side
    229,789.50x = 40,966,813,141.97
  5. Step 5: Solve for x
    x = 40,966,813,141.97/229,789.50
  6. Step 6: Final answer
    x = 178,279.74

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1.5x scale

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.