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Finding the Fourth Proportional to 259,103.61, 388,876.95 and 101,442.78

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Solution

The fourth proportional to 259,103.61, 388,876.95 and 101,442.78 is: 152,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,103.61 : 388,876.95 = 101,442.78 : x
  2. Step 2: Convert to fraction form
    259,103.61/388,876.95 = 101,442.78/x
  3. Step 3: Cross multiply
    259,103.61x = 388,876.95 × 101,442.78
  4. Step 4: Simplify right side
    259,103.61x = 39,448,758,885.92
  5. Step 5: Solve for x
    x = 39,448,758,885.92/259,103.61
  6. Step 6: Final answer
    x = 152,250.90

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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.