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Finding the Fourth Proportional to 106,856.96, 160,308.32 and 31,982.88

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Solution

The fourth proportional to 106,856.96, 160,308.32 and 31,982.88 is: 47,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,856.96 : 160,308.32 = 31,982.88 : x
  2. Step 2: Convert to fraction form
    106,856.96/160,308.32 = 31,982.88/x
  3. Step 3: Cross multiply
    106,856.96x = 160,308.32 × 31,982.88
  4. Step 4: Simplify right side
    106,856.96x = 5,127,121,761.56
  5. Step 5: Solve for x
    x = 5,127,121,761.56/106,856.96
  6. Step 6: Final answer
    x = 47,981.17

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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.