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Finding the Fourth Proportional to 259,691.72, 389,302.44 and 101,877.80

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Solution

The fourth proportional to 259,691.72, 389,302.44 and 101,877.80 is: 152,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,691.72 : 389,302.44 = 101,877.80 : x
  2. Step 2: Convert to fraction form
    259,691.72/389,302.44 = 101,877.80/x
  3. Step 3: Cross multiply
    259,691.72x = 389,302.44 × 101,877.80
  4. Step 4: Simplify right side
    259,691.72x = 39,661,276,121.83
  5. Step 5: Solve for x
    x = 39,661,276,121.83/259,691.72
  6. Step 6: Final answer
    x = 152,724.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.