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Finding the Fourth Proportional to 225,862.96, 311,688.72 and 123,886.30

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Solution

The fourth proportional to 225,862.96, 311,688.72 and 123,886.30 is: 170,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,862.96 : 311,688.72 = 123,886.30 : x
  2. Step 2: Convert to fraction form
    225,862.96/311,688.72 = 123,886.30/x
  3. Step 3: Cross multiply
    225,862.96x = 311,688.72 × 123,886.30
  4. Step 4: Simplify right side
    225,862.96x = 38,613,962,272.54
  5. Step 5: Solve for x
    x = 38,613,962,272.54/225,862.96
  6. Step 6: Final answer
    x = 170,961.91

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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.