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Finding the Fourth Proportional to 106,863.29, 160,327.03 and 31,985.88

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Solution

The fourth proportional to 106,863.29, 160,327.03 and 31,985.88 is: 47,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,863.29 : 160,327.03 = 31,985.88 : x
  2. Step 2: Convert to fraction form
    106,863.29/160,327.03 = 31,985.88/x
  3. Step 3: Cross multiply
    106,863.29x = 160,327.03 × 31,985.88
  4. Step 4: Simplify right side
    106,863.29x = 5,128,201,142.34
  5. Step 5: Solve for x
    x = 5,128,201,142.34/106,863.29
  6. Step 6: Final answer
    x = 47,988.43

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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.