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Finding the Fourth Proportional to 77,271.84, 115,917.48 and 27,340.20

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Solution

The fourth proportional to 77,271.84, 115,917.48 and 27,340.20 is: 41,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,271.84 : 115,917.48 = 27,340.20 : x
  2. Step 2: Convert to fraction form
    77,271.84/115,917.48 = 27,340.20/x
  3. Step 3: Cross multiply
    77,271.84x = 115,917.48 × 27,340.20
  4. Step 4: Simplify right side
    77,271.84x = 3,169,207,086.70
  5. Step 5: Solve for x
    x = 3,169,207,086.70/77,271.84
  6. Step 6: Final answer
    x = 41,013.74

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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.