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Finding the Fourth Proportional to 78,476.75, 117,715.13 and 20,108.75

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Solution

The fourth proportional to 78,476.75, 117,715.13 and 20,108.75 is: 30,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,476.75 : 117,715.13 = 20,108.75 : x
  2. Step 2: Convert to fraction form
    78,476.75/117,715.13 = 20,108.75/x
  3. Step 3: Cross multiply
    78,476.75x = 117,715.13 × 20,108.75
  4. Step 4: Simplify right side
    78,476.75x = 2,367,104,120.39
  5. Step 5: Solve for x
    x = 2,367,104,120.39/78,476.75
  6. Step 6: Final answer
    x = 30,163.13

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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.