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Finding the Fourth Proportional to 71,135.66, 106,680.81 and 29,015.66

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Solution

The fourth proportional to 71,135.66, 106,680.81 and 29,015.66 is: 43,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135.66 : 106,680.81 = 29,015.66 : x
  2. Step 2: Convert to fraction form
    71,135.66/106,680.81 = 29,015.66/x
  3. Step 3: Cross multiply
    71,135.66x = 106,680.81 × 29,015.66
  4. Step 4: Simplify right side
    71,135.66x = 3,095,414,111.48
  5. Step 5: Solve for x
    x = 3,095,414,111.48/71,135.66
  6. Step 6: Final answer
    x = 43,514.24

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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.