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Finding the Fourth Proportional to 71,142.84, 106,641.36 and 26,738.64

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Solution

The fourth proportional to 71,142.84, 106,641.36 and 26,738.64 is: 40,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.84 : 106,641.36 = 26,738.64 : x
  2. Step 2: Convert to fraction form
    71,142.84/106,641.36 = 26,738.64/x
  3. Step 3: Cross multiply
    71,142.84x = 106,641.36 × 26,738.64
  4. Step 4: Simplify right side
    71,142.84x = 2,851,444,934.15
  5. Step 5: Solve for x
    x = 2,851,444,934.15/71,142.84
  6. Step 6: Final answer
    x = 40,080.56

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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.