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Finding the Fourth Proportional to 128,644.60, 193,010.70 and 81,204.52

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Solution

The fourth proportional to 128,644.60, 193,010.70 and 81,204.52 is: 121,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,644.60 : 193,010.70 = 81,204.52 : x
  2. Step 2: Convert to fraction form
    128,644.60/193,010.70 = 81,204.52/x
  3. Step 3: Cross multiply
    128,644.60x = 193,010.70 × 81,204.52
  4. Step 4: Simplify right side
    128,644.60x = 15,673,341,248.36
  5. Step 5: Solve for x
    x = 15,673,341,248.36/128,644.60
  6. Step 6: Final answer
    x = 121,834.43

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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.