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Finding the Fourth Proportional to 225,754.20, 311,541.66 and 123,781.23

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Solution

The fourth proportional to 225,754.20, 311,541.66 and 123,781.23 is: 170,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,754.20 : 311,541.66 = 123,781.23 : x
  2. Step 2: Convert to fraction form
    225,754.20/311,541.66 = 123,781.23/x
  3. Step 3: Cross multiply
    225,754.20x = 311,541.66 × 123,781.23
  4. Step 4: Simplify right side
    225,754.20x = 38,563,009,871.04
  5. Step 5: Solve for x
    x = 38,563,009,871.04/225,754.20
  6. Step 6: Final answer
    x = 170,818.57

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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.