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Finding the Fourth Proportional to 148,486.70, 204,909.13 and 83,954.86

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Solution

The fourth proportional to 148,486.70, 204,909.13 and 83,954.86 is: 115,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,486.70 : 204,909.13 = 83,954.86 : x
  2. Step 2: Convert to fraction form
    148,486.70/204,909.13 = 83,954.86/x
  3. Step 3: Cross multiply
    148,486.70x = 204,909.13 × 83,954.86
  4. Step 4: Simplify right side
    148,486.70x = 17,203,117,321.87
  5. Step 5: Solve for x
    x = 17,203,117,321.87/148,486.70
  6. Step 6: Final answer
    x = 115,856.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.