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Finding the Fourth Proportional to 77,253.84, 115,890.48 and 27,322.20

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Solution

The fourth proportional to 77,253.84, 115,890.48 and 27,322.20 is: 40,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,253.84 : 115,890.48 = 27,322.20 : x
  2. Step 2: Convert to fraction form
    77,253.84/115,890.48 = 27,322.20/x
  3. Step 3: Cross multiply
    77,253.84x = 115,890.48 × 27,322.20
  4. Step 4: Simplify right side
    77,253.84x = 3,166,382,872.66
  5. Step 5: Solve for x
    x = 3,166,382,872.66/77,253.84
  6. Step 6: Final answer
    x = 40,986.74

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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.