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Finding the Fourth Proportional to 80,722.56, 121,012.80 and 31,440

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Solution

The fourth proportional to 80,722.56, 121,012.80 and 31,440 is: 47,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.56 : 121,012.80 = 31,440 : x
  2. Step 2: Convert to fraction form
    80,722.56/121,012.80 = 31,440/x
  3. Step 3: Cross multiply
    80,722.56x = 121,012.80 × 31,440
  4. Step 4: Simplify right side
    80,722.56x = 3,804,642,432
  5. Step 5: Solve for x
    x = 3,804,642,432/80,722.56
  6. Step 6: Final answer
    x = 47,132.33

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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.