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Finding the Fourth Proportional to 106,305.86, 159,478.41 and 43,981.22

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Solution

The fourth proportional to 106,305.86, 159,478.41 and 43,981.22 is: 65,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,305.86 : 159,478.41 = 43,981.22 : x
  2. Step 2: Convert to fraction form
    106,305.86/159,478.41 = 43,981.22/x
  3. Step 3: Cross multiply
    106,305.86x = 159,478.41 × 43,981.22
  4. Step 4: Simplify right side
    106,305.86x = 7,014,055,035.46
  5. Step 5: Solve for x
    x = 7,014,055,035.46/106,305.86
  6. Step 6: Final answer
    x = 65,979.95

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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.