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Finding the Fourth Proportional to 77,155.43, 115,703.78 and 27,226.22

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Solution

The fourth proportional to 77,155.43, 115,703.78 and 27,226.22 is: 40,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,155.43 : 115,703.78 = 27,226.22 : x
  2. Step 2: Convert to fraction form
    77,155.43/115,703.78 = 27,226.22/x
  3. Step 3: Cross multiply
    77,155.43x = 115,703.78 × 27,226.22
  4. Step 4: Simplify right side
    77,155.43x = 3,150,175,854.46
  5. Step 5: Solve for x
    x = 3,150,175,854.46/77,155.43
  6. Step 6: Final answer
    x = 40,828.96

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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.