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Finding the Fourth Proportional to 78,640.88, 117,921.22 and 26,031.38

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Solution

The fourth proportional to 78,640.88, 117,921.22 and 26,031.38 is: 39,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.88 : 117,921.22 = 26,031.38 : x
  2. Step 2: Convert to fraction form
    78,640.88/117,921.22 = 26,031.38/x
  3. Step 3: Cross multiply
    78,640.88x = 117,921.22 × 26,031.38
  4. Step 4: Simplify right side
    78,640.88x = 3,069,651,433.20
  5. Step 5: Solve for x
    x = 3,069,651,433.20/78,640.88
  6. Step 6: Final answer
    x = 39,033.79

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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.