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Finding the Fourth Proportional to 109,344.70, 164,081.85 and 72,011.80

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Solution

The fourth proportional to 109,344.70, 164,081.85 and 72,011.80 is: 108,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,344.70 : 164,081.85 = 72,011.80 : x
  2. Step 2: Convert to fraction form
    109,344.70/164,081.85 = 72,011.80/x
  3. Step 3: Cross multiply
    109,344.70x = 164,081.85 × 72,011.80
  4. Step 4: Simplify right side
    109,344.70x = 11,815,829,365.83
  5. Step 5: Solve for x
    x = 11,815,829,365.83/109,344.70
  6. Step 6: Final answer
    x = 108,060.38

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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.