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Finding the Fourth Proportional to 159,922, 220,711.80 and 92,854

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Solution

The fourth proportional to 159,922, 220,711.80 and 92,854 is: 128,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,922 : 220,711.80 = 92,854 : x
  2. Step 2: Convert to fraction form
    159,922/220,711.80 = 92,854/x
  3. Step 3: Cross multiply
    159,922x = 220,711.80 × 92,854
  4. Step 4: Simplify right side
    159,922x = 20,493,973,477.20
  5. Step 5: Solve for x
    x = 20,493,973,477.20/159,922
  6. Step 6: Final answer
    x = 128,149.81

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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.