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Finding the Fourth Proportional to 254,605, 381,907.50 and 88,393

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Solution

The fourth proportional to 254,605, 381,907.50 and 88,393 is: 132,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,605 : 381,907.50 = 88,393 : x
  2. Step 2: Convert to fraction form
    254,605/381,907.50 = 88,393/x
  3. Step 3: Cross multiply
    254,605x = 381,907.50 × 88,393
  4. Step 4: Simplify right side
    254,605x = 33,757,949,647.50
  5. Step 5: Solve for x
    x = 33,757,949,647.50/254,605
  6. Step 6: Final answer
    x = 132,589.50

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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.