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Finding the Fourth Proportional to 81,772.74, 122,697.81 and 34,398.24

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Solution

The fourth proportional to 81,772.74, 122,697.81 and 34,398.24 is: 51,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772.74 : 122,697.81 = 34,398.24 : x
  2. Step 2: Convert to fraction form
    81,772.74/122,697.81 = 34,398.24/x
  3. Step 3: Cross multiply
    81,772.74x = 122,697.81 × 34,398.24
  4. Step 4: Simplify right side
    81,772.74x = 4,220,588,715.85
  5. Step 5: Solve for x
    x = 4,220,588,715.85/81,772.74
  6. Step 6: Final answer
    x = 51,613.64

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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.