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Finding the Fourth Proportional to 225,638.31, 311,384.87 and 123,656.98

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Solution

The fourth proportional to 225,638.31, 311,384.87 and 123,656.98 is: 170,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,638.31 : 311,384.87 = 123,656.98 : x
  2. Step 2: Convert to fraction form
    225,638.31/311,384.87 = 123,656.98/x
  3. Step 3: Cross multiply
    225,638.31x = 311,384.87 × 123,656.98
  4. Step 4: Simplify right side
    225,638.31x = 38,504,912,641.89
  5. Step 5: Solve for x
    x = 38,504,912,641.89/225,638.31
  6. Step 6: Final answer
    x = 170,648.83

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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.