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Finding the Fourth Proportional to 76,508.97, 114,759 and 34,378.17

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Solution

The fourth proportional to 76,508.97, 114,759 and 34,378.17 is: 51,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508.97 : 114,759 = 34,378.17 : x
  2. Step 2: Convert to fraction form
    76,508.97/114,759 = 34,378.17/x
  3. Step 3: Cross multiply
    76,508.97x = 114,759 × 34,378.17
  4. Step 4: Simplify right side
    76,508.97x = 3,945,204,411.03
  5. Step 5: Solve for x
    x = 3,945,204,411.03/76,508.97
  6. Step 6: Final answer
    x = 51,565.25

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1.5x scale

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.