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Finding the Fourth Proportional to 89,789.76, 134,775.36 and 80,964

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Solution

The fourth proportional to 89,789.76, 134,775.36 and 80,964 is: 121,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,789.76 : 134,775.36 = 80,964 : x
  2. Step 2: Convert to fraction form
    89,789.76/134,775.36 = 80,964/x
  3. Step 3: Cross multiply
    89,789.76x = 134,775.36 × 80,964
  4. Step 4: Simplify right side
    89,789.76x = 10,911,952,247.04
  5. Step 5: Solve for x
    x = 10,911,952,247.04/89,789.76
  6. Step 6: Final answer
    x = 121,527.80

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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.