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Finding the Fourth Proportional to 80,953.68, 121,405.76 and 38,812

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Solution

The fourth proportional to 80,953.68, 121,405.76 and 38,812 is: 58,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.68 : 121,405.76 = 38,812 : x
  2. Step 2: Convert to fraction form
    80,953.68/121,405.76 = 38,812/x
  3. Step 3: Cross multiply
    80,953.68x = 121,405.76 × 38,812
  4. Step 4: Simplify right side
    80,953.68x = 4,712,000,357.12
  5. Step 5: Solve for x
    x = 4,712,000,357.12/80,953.68
  6. Step 6: Final answer
    x = 58,206.13

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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.