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Finding the Fourth Proportional to 70,026.40, 105,046.12 and 27,896.28

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Solution

The fourth proportional to 70,026.40, 105,046.12 and 27,896.28 is: 41,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026.40 : 105,046.12 = 27,896.28 : x
  2. Step 2: Convert to fraction form
    70,026.40/105,046.12 = 27,896.28/x
  3. Step 3: Cross multiply
    70,026.40x = 105,046.12 × 27,896.28
  4. Step 4: Simplify right side
    70,026.40x = 2,930,395,976.43
  5. Step 5: Solve for x
    x = 2,930,395,976.43/70,026.40
  6. Step 6: Final answer
    x = 41,847.02

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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.