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Finding the Fourth Proportional to 101,678, 140,315.64 and 61,934

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Solution

The fourth proportional to 101,678, 140,315.64 and 61,934 is: 85,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,678 : 140,315.64 = 61,934 : x
  2. Step 2: Convert to fraction form
    101,678/140,315.64 = 61,934/x
  3. Step 3: Cross multiply
    101,678x = 140,315.64 × 61,934
  4. Step 4: Simplify right side
    101,678x = 8,690,308,847.76
  5. Step 5: Solve for x
    x = 8,690,308,847.76/101,678
  6. Step 6: Final answer
    x = 85,468.92

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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.