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Finding the Fourth Proportional to 77,238.76, 115,866.78 and 21,839.08

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Solution

The fourth proportional to 77,238.76, 115,866.78 and 21,839.08 is: 32,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238.76 : 115,866.78 = 21,839.08 : x
  2. Step 2: Convert to fraction form
    77,238.76/115,866.78 = 21,839.08/x
  3. Step 3: Cross multiply
    77,238.76x = 115,866.78 × 21,839.08
  4. Step 4: Simplify right side
    77,238.76x = 2,530,423,877.76
  5. Step 5: Solve for x
    x = 2,530,423,877.76/77,238.76
  6. Step 6: Final answer
    x = 32,761.06

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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.