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Finding the Fourth Proportional to 159,904.70, 220,668.81 and 88,284.86

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Solution

The fourth proportional to 159,904.70, 220,668.81 and 88,284.86 is: 121,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,904.70 : 220,668.81 = 88,284.86 : x
  2. Step 2: Convert to fraction form
    159,904.70/220,668.81 = 88,284.86/x
  3. Step 3: Cross multiply
    159,904.70x = 220,668.81 × 88,284.86
  4. Step 4: Simplify right side
    159,904.70x = 19,481,715,217.93
  5. Step 5: Solve for x
    x = 19,481,715,217.93/159,904.70
  6. Step 6: Final answer
    x = 121,833.29

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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.