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Finding the Fourth Proportional to 225,673.92, 311,329.80 and 145,086.48

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Solution

The fourth proportional to 225,673.92, 311,329.80 and 145,086.48 is: 200,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,673.92 : 311,329.80 = 145,086.48 : x
  2. Step 2: Convert to fraction form
    225,673.92/311,329.80 = 145,086.48/x
  3. Step 3: Cross multiply
    225,673.92x = 311,329.80 × 145,086.48
  4. Step 4: Simplify right side
    225,673.92x = 45,169,744,801.10
  5. Step 5: Solve for x
    x = 45,169,744,801.10/225,673.92
  6. Step 6: Final answer
    x = 200,154.92

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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.