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Finding the Fourth Proportional to 259,104.61, 388,878.45 and 101,443.78

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Solution

The fourth proportional to 259,104.61, 388,878.45 and 101,443.78 is: 152,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,104.61 : 388,878.45 = 101,443.78 : x
  2. Step 2: Convert to fraction form
    259,104.61/388,878.45 = 101,443.78/x
  3. Step 3: Cross multiply
    259,104.61x = 388,878.45 × 101,443.78
  4. Step 4: Simplify right side
    259,104.61x = 39,449,299,928.54
  5. Step 5: Solve for x
    x = 39,449,299,928.54/259,104.61
  6. Step 6: Final answer
    x = 152,252.40

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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.