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Finding the Fourth Proportional to 80,478.66, 120,836.49 and 45,009.47

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Solution

The fourth proportional to 80,478.66, 120,836.49 and 45,009.47 is: 67,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478.66 : 120,836.49 = 45,009.47 : x
  2. Step 2: Convert to fraction form
    80,478.66/120,836.49 = 45,009.47/x
  3. Step 3: Cross multiply
    80,478.66x = 120,836.49 × 45,009.47
  4. Step 4: Simplify right side
    80,478.66x = 5,438,786,146.51
  5. Step 5: Solve for x
    x = 5,438,786,146.51/80,478.66
  6. Step 6: Final answer
    x = 67,580.48

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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.