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Finding the Fourth Proportional to 77,087.97, 115,641.21 and 27,157.74

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Solution

The fourth proportional to 77,087.97, 115,641.21 and 27,157.74 is: 40,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,087.97 : 115,641.21 = 27,157.74 : x
  2. Step 2: Convert to fraction form
    77,087.97/115,641.21 = 27,157.74/x
  3. Step 3: Cross multiply
    77,087.97x = 115,641.21 × 27,157.74
  4. Step 4: Simplify right side
    77,087.97x = 3,140,553,914.47
  5. Step 5: Solve for x
    x = 3,140,553,914.47/77,087.97
  6. Step 6: Final answer
    x = 40,739.87

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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.