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Finding the Fourth Proportional to 78,166.75, 117,249.28 and 19,002.49

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Solution

The fourth proportional to 78,166.75, 117,249.28 and 19,002.49 is: 28,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.75 : 117,249.28 = 19,002.49 : x
  2. Step 2: Convert to fraction form
    78,166.75/117,249.28 = 19,002.49/x
  3. Step 3: Cross multiply
    78,166.75x = 117,249.28 × 19,002.49
  4. Step 4: Simplify right side
    78,166.75x = 2,228,028,270.71
  5. Step 5: Solve for x
    x = 2,228,028,270.71/78,166.75
  6. Step 6: Final answer
    x = 28,503.53

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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.