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Finding the Fourth Proportional to 101,686, 140,326.68 and 61,942

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Solution

The fourth proportional to 101,686, 140,326.68 and 61,942 is: 85,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,686 : 140,326.68 = 61,942 : x
  2. Step 2: Convert to fraction form
    101,686/140,326.68 = 61,942/x
  3. Step 3: Cross multiply
    101,686x = 140,326.68 × 61,942
  4. Step 4: Simplify right side
    101,686x = 8,692,115,212.56
  5. Step 5: Solve for x
    x = 8,692,115,212.56/101,686
  6. Step 6: Final answer
    x = 85,479.96

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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.