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Finding the Fourth Proportional to 259,251.66, 388,877.49 and 81,772.50

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Solution

The fourth proportional to 259,251.66, 388,877.49 and 81,772.50 is: 122,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,251.66 : 388,877.49 = 81,772.50 : x
  2. Step 2: Convert to fraction form
    259,251.66/388,877.49 = 81,772.50/x
  3. Step 3: Cross multiply
    259,251.66x = 388,877.49 × 81,772.50
  4. Step 4: Simplify right side
    259,251.66x = 31,799,486,009.32
  5. Step 5: Solve for x
    x = 31,799,486,009.32/259,251.66
  6. Step 6: Final answer
    x = 122,658.76

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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.