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Finding the Fourth Proportional to 134,647.74, 185,814.25 and 80,963.50

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Solution

The fourth proportional to 134,647.74, 185,814.25 and 80,963.50 is: 111,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,647.74 : 185,814.25 = 80,963.50 : x
  2. Step 2: Convert to fraction form
    134,647.74/185,814.25 = 80,963.50/x
  3. Step 3: Cross multiply
    134,647.74x = 185,814.25 × 80,963.50
  4. Step 4: Simplify right side
    134,647.74x = 15,044,172,029.88
  5. Step 5: Solve for x
    x = 15,044,172,029.88/134,647.74
  6. Step 6: Final answer
    x = 111,729.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.