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Finding the Fourth Proportional to 101,761.88, 140,433.14 and 56,441.84

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Solution

The fourth proportional to 101,761.88, 140,433.14 and 56,441.84 is: 77,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,761.88 : 140,433.14 = 56,441.84 : x
  2. Step 2: Convert to fraction form
    101,761.88/140,433.14 = 56,441.84/x
  3. Step 3: Cross multiply
    101,761.88x = 140,433.14 × 56,441.84
  4. Step 4: Simplify right side
    101,761.88x = 7,926,304,257.52
  5. Step 5: Solve for x
    x = 7,926,304,257.52/101,761.88
  6. Step 6: Final answer
    x = 77,890.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.