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Finding the Fourth Proportional to 106,279, 159,444.54 and 31,398.68

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Solution

The fourth proportional to 106,279, 159,444.54 and 31,398.68 is: 47,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,279 : 159,444.54 = 31,398.68 : x
  2. Step 2: Convert to fraction form
    106,279/159,444.54 = 31,398.68/x
  3. Step 3: Cross multiply
    106,279x = 159,444.54 × 31,398.68
  4. Step 4: Simplify right side
    106,279x = 5,006,348,089.21
  5. Step 5: Solve for x
    x = 5,006,348,089.21/106,279
  6. Step 6: Final answer
    x = 47,105.71

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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.