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Finding the Fourth Proportional to 81,463.68, 122,204.16 and 34,721.28

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Solution

The fourth proportional to 81,463.68, 122,204.16 and 34,721.28 is: 52,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,463.68 : 122,204.16 = 34,721.28 : x
  2. Step 2: Convert to fraction form
    81,463.68/122,204.16 = 34,721.28/x
  3. Step 3: Cross multiply
    81,463.68x = 122,204.16 × 34,721.28
  4. Step 4: Simplify right side
    81,463.68x = 4,243,084,856.52
  5. Step 5: Solve for x
    x = 4,243,084,856.52/81,463.68
  6. Step 6: Final answer
    x = 52,085.60

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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.