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Finding the Fourth Proportional to 106,638.36, 159,979.14 and 31,759.80

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Solution

The fourth proportional to 106,638.36, 159,979.14 and 31,759.80 is: 47,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.36 : 159,979.14 = 31,759.80 : x
  2. Step 2: Convert to fraction form
    106,638.36/159,979.14 = 31,759.80/x
  3. Step 3: Cross multiply
    106,638.36x = 159,979.14 × 31,759.80
  4. Step 4: Simplify right side
    106,638.36x = 5,080,905,490.57
  5. Step 5: Solve for x
    x = 5,080,905,490.57/106,638.36
  6. Step 6: Final answer
    x = 47,646.13

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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.