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Finding the Fourth Proportional to 276,750, 415,125 and 89,761.50

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Solution

The fourth proportional to 276,750, 415,125 and 89,761.50 is: 134,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,750 : 415,125 = 89,761.50 : x
  2. Step 2: Convert to fraction form
    276,750/415,125 = 89,761.50/x
  3. Step 3: Cross multiply
    276,750x = 415,125 × 89,761.50
  4. Step 4: Simplify right side
    276,750x = 37,262,242,687.50
  5. Step 5: Solve for x
    x = 37,262,242,687.50/276,750
  6. Step 6: Final answer
    x = 134,642.25

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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.