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Finding the Fourth Proportional to 80,506.68, 120,784.05 and 38,440.14

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Solution

The fourth proportional to 80,506.68, 120,784.05 and 38,440.14 is: 57,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,506.68 : 120,784.05 = 38,440.14 : x
  2. Step 2: Convert to fraction form
    80,506.68/120,784.05 = 38,440.14/x
  3. Step 3: Cross multiply
    80,506.68x = 120,784.05 × 38,440.14
  4. Step 4: Simplify right side
    80,506.68x = 4,642,955,791.77
  5. Step 5: Solve for x
    x = 4,642,955,791.77/80,506.68
  6. Step 6: Final answer
    x = 57,671.68

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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.