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Finding the Fourth Proportional to 71,162.32, 106,745.40 and 18,570.64

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Solution

The fourth proportional to 71,162.32, 106,745.40 and 18,570.64 is: 27,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.32 : 106,745.40 = 18,570.64 : x
  2. Step 2: Convert to fraction form
    71,162.32/106,745.40 = 18,570.64/x
  3. Step 3: Cross multiply
    71,162.32x = 106,745.40 × 18,570.64
  4. Step 4: Simplify right side
    71,162.32x = 1,982,330,395.06
  5. Step 5: Solve for x
    x = 1,982,330,395.06/71,162.32
  6. Step 6: Final answer
    x = 27,856.46

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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.