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Finding the Fourth Proportional to 154,045, 231,067.50 and 55,549

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Solution

The fourth proportional to 154,045, 231,067.50 and 55,549 is: 83,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,045 : 231,067.50 = 55,549 : x
  2. Step 2: Convert to fraction form
    154,045/231,067.50 = 55,549/x
  3. Step 3: Cross multiply
    154,045x = 231,067.50 × 55,549
  4. Step 4: Simplify right side
    154,045x = 12,835,568,557.50
  5. Step 5: Solve for x
    x = 12,835,568,557.50/154,045
  6. Step 6: Final answer
    x = 83,323.50

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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.