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Finding the Fourth Proportional to 126,894.50, 175,035.22 and 81,631.50

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Solution

The fourth proportional to 126,894.50, 175,035.22 and 81,631.50 is: 112,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,894.50 : 175,035.22 = 81,631.50 : x
  2. Step 2: Convert to fraction form
    126,894.50/175,035.22 = 81,631.50/x
  3. Step 3: Cross multiply
    126,894.50x = 175,035.22 × 81,631.50
  4. Step 4: Simplify right side
    126,894.50x = 14,288,387,561.43
  5. Step 5: Solve for x
    x = 14,288,387,561.43/126,894.50
  6. Step 6: Final answer
    x = 112,600.53

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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.