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Finding the Fourth Proportional to 100,245, 138,338.10 and 59,960.46

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Solution

The fourth proportional to 100,245, 138,338.10 and 59,960.46 is: 82,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,245 : 138,338.10 = 59,960.46 : x
  2. Step 2: Convert to fraction form
    100,245/138,338.10 = 59,960.46/x
  3. Step 3: Cross multiply
    100,245x = 138,338.10 × 59,960.46
  4. Step 4: Simplify right side
    100,245x = 8,294,816,111.53
  5. Step 5: Solve for x
    x = 8,294,816,111.53/100,245
  6. Step 6: Final answer
    x = 82,745.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.