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Finding the Fourth Proportional to 89,029.60, 133,371.60 and 82,808.80

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Solution

The fourth proportional to 89,029.60, 133,371.60 and 82,808.80 is: 124,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,029.60 : 133,371.60 = 82,808.80 : x
  2. Step 2: Convert to fraction form
    89,029.60/133,371.60 = 82,808.80/x
  3. Step 3: Cross multiply
    89,029.60x = 133,371.60 × 82,808.80
  4. Step 4: Simplify right side
    89,029.60x = 11,044,342,150.08
  5. Step 5: Solve for x
    x = 11,044,342,150.08/89,029.60
  6. Step 6: Final answer
    x = 124,052.47

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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.