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Finding the Fourth Proportional to 159,910, 220,695.24 and 92,842

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Solution

The fourth proportional to 159,910, 220,695.24 and 92,842 is: 128,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,910 : 220,695.24 = 92,842 : x
  2. Step 2: Convert to fraction form
    159,910/220,695.24 = 92,842/x
  3. Step 3: Cross multiply
    159,910x = 220,695.24 × 92,842
  4. Step 4: Simplify right side
    159,910x = 20,489,787,472.08
  5. Step 5: Solve for x
    x = 20,489,787,472.08/159,910
  6. Step 6: Final answer
    x = 128,133.25

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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.