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Finding the Fourth Proportional to 81,862.61, 122,793.95 and 36,831.37

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Solution

The fourth proportional to 81,862.61, 122,793.95 and 36,831.37 is: 55,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.61 : 122,793.95 = 36,831.37 : x
  2. Step 2: Convert to fraction form
    81,862.61/122,793.95 = 36,831.37/x
  3. Step 3: Cross multiply
    81,862.61x = 122,793.95 × 36,831.37
  4. Step 4: Simplify right side
    81,862.61x = 4,522,669,222.05
  5. Step 5: Solve for x
    x = 4,522,669,222.05/81,862.61
  6. Step 6: Final answer
    x = 55,247.07

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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.