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Finding the Fourth Proportional to 77,141.67, 115,727.10 and 27,216.10

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Solution

The fourth proportional to 77,141.67, 115,727.10 and 27,216.10 is: 40,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.67 : 115,727.10 = 27,216.10 : x
  2. Step 2: Convert to fraction form
    77,141.67/115,727.10 = 27,216.10/x
  3. Step 3: Cross multiply
    77,141.67x = 115,727.10 × 27,216.10
  4. Step 4: Simplify right side
    77,141.67x = 3,149,640,326.31
  5. Step 5: Solve for x
    x = 3,149,640,326.31/77,141.67
  6. Step 6: Final answer
    x = 40,829.30

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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.