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Finding the Fourth Proportional to 70,824, 106,240.86 and 23,439

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Solution

The fourth proportional to 70,824, 106,240.86 and 23,439 is: 35,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824 : 106,240.86 = 23,439 : x
  2. Step 2: Convert to fraction form
    70,824/106,240.86 = 23,439/x
  3. Step 3: Cross multiply
    70,824x = 106,240.86 × 23,439
  4. Step 4: Simplify right side
    70,824x = 2,490,179,517.54
  5. Step 5: Solve for x
    x = 2,490,179,517.54/70,824
  6. Step 6: Final answer
    x = 35,160.11

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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.