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Finding the Fourth Proportional to 109,909.69, 164,865.35 and 26,803.69

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Solution

The fourth proportional to 109,909.69, 164,865.35 and 26,803.69 is: 40,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.69 : 164,865.35 = 26,803.69 : x
  2. Step 2: Convert to fraction form
    109,909.69/164,865.35 = 26,803.69/x
  3. Step 3: Cross multiply
    109,909.69x = 164,865.35 × 26,803.69
  4. Step 4: Simplify right side
    109,909.69x = 4,418,999,387.99
  5. Step 5: Solve for x
    x = 4,418,999,387.99/109,909.69
  6. Step 6: Final answer
    x = 40,205.73

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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.