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Finding the Fourth Proportional to 115,410.80, 173,116.20 and 67,977.20

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Solution

The fourth proportional to 115,410.80, 173,116.20 and 67,977.20 is: 101,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,410.80 : 173,116.20 = 67,977.20 : x
  2. Step 2: Convert to fraction form
    115,410.80/173,116.20 = 67,977.20/x
  3. Step 3: Cross multiply
    115,410.80x = 173,116.20 × 67,977.20
  4. Step 4: Simplify right side
    115,410.80x = 11,767,954,550.64
  5. Step 5: Solve for x
    x = 11,767,954,550.64/115,410.80
  6. Step 6: Final answer
    x = 101,965.80

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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.