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Finding the Fourth Proportional to 101,909.86, 140,648.57 and 61,623.90

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Solution

The fourth proportional to 101,909.86, 140,648.57 and 61,623.90 is: 85,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.86 : 140,648.57 = 61,623.90 : x
  2. Step 2: Convert to fraction form
    101,909.86/140,648.57 = 61,623.90/x
  3. Step 3: Cross multiply
    101,909.86x = 140,648.57 × 61,623.90
  4. Step 4: Simplify right side
    101,909.86x = 8,667,313,566.88
  5. Step 5: Solve for x
    x = 8,667,313,566.88/101,909.86
  6. Step 6: Final answer
    x = 85,048.82

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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.