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Finding the Fourth Proportional to 159,197.91, 219,684.45 and 87,566.37

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Solution

The fourth proportional to 159,197.91, 219,684.45 and 87,566.37 is: 120,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,197.91 : 219,684.45 = 87,566.37 : x
  2. Step 2: Convert to fraction form
    159,197.91/219,684.45 = 87,566.37/x
  3. Step 3: Cross multiply
    159,197.91x = 219,684.45 × 87,566.37
  4. Step 4: Simplify right side
    159,197.91x = 19,236,969,831.95
  5. Step 5: Solve for x
    x = 19,236,969,831.95/159,197.91
  6. Step 6: Final answer
    x = 120,836.82

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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.