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Finding the Fourth Proportional to 80,460, 120,707.28 and 31,212

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Solution

The fourth proportional to 80,460, 120,707.28 and 31,212 is: 46,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,460 : 120,707.28 = 31,212 : x
  2. Step 2: Convert to fraction form
    80,460/120,707.28 = 31,212/x
  3. Step 3: Cross multiply
    80,460x = 120,707.28 × 31,212
  4. Step 4: Simplify right side
    80,460x = 3,767,515,623.36
  5. Step 5: Solve for x
    x = 3,767,515,623.36/80,460
  6. Step 6: Final answer
    x = 46,824.70

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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.