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Finding the Fourth Proportional to 225,842.92, 311,668.94 and 127,718.30

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Solution

The fourth proportional to 225,842.92, 311,668.94 and 127,718.30 is: 176,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,842.92 : 311,668.94 = 127,718.30 : x
  2. Step 2: Convert to fraction form
    225,842.92/311,668.94 = 127,718.30/x
  3. Step 3: Cross multiply
    225,842.92x = 311,668.94 × 127,718.30
  4. Step 4: Simplify right side
    225,842.92x = 39,805,827,179.60
  5. Step 5: Solve for x
    x = 39,805,827,179.60/225,842.92
  6. Step 6: Final answer
    x = 176,254.48

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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.