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Finding the Fourth Proportional to 109,840, 164,701.68 and 50,645.20

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Solution

The fourth proportional to 109,840, 164,701.68 and 50,645.20 is: 75,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,840 : 164,701.68 = 50,645.20 : x
  2. Step 2: Convert to fraction form
    109,840/164,701.68 = 50,645.20/x
  3. Step 3: Cross multiply
    109,840x = 164,701.68 × 50,645.20
  4. Step 4: Simplify right side
    109,840x = 8,341,349,523.94
  5. Step 5: Solve for x
    x = 8,341,349,523.94/109,840
  6. Step 6: Final answer
    x = 75,940.91

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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.