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Finding the Fourth Proportional to 126,863.84, 190,295.76 and 52,940

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Solution

The fourth proportional to 126,863.84, 190,295.76 and 52,940 is: 79,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,863.84 : 190,295.76 = 52,940 : x
  2. Step 2: Convert to fraction form
    126,863.84/190,295.76 = 52,940/x
  3. Step 3: Cross multiply
    126,863.84x = 190,295.76 × 52,940
  4. Step 4: Simplify right side
    126,863.84x = 10,074,257,534.40
  5. Step 5: Solve for x
    x = 10,074,257,534.40/126,863.84
  6. Step 6: Final answer
    x = 79,410

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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.