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Finding the Fourth Proportional to 76,049.25, 114,073.88 and 20,645.25

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Solution

The fourth proportional to 76,049.25, 114,073.88 and 20,645.25 is: 30,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.25 : 114,073.88 = 20,645.25 : x
  2. Step 2: Convert to fraction form
    76,049.25/114,073.88 = 20,645.25/x
  3. Step 3: Cross multiply
    76,049.25x = 114,073.88 × 20,645.25
  4. Step 4: Simplify right side
    76,049.25x = 2,355,083,667.84
  5. Step 5: Solve for x
    x = 2,355,083,667.84/76,049.25
  6. Step 6: Final answer
    x = 30,967.88

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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.