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Finding the Fourth Proportional to 64,971.32, 89,660.39 and 35,163.32

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Solution

The fourth proportional to 64,971.32, 89,660.39 and 35,163.32 is: 48,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.32 : 89,660.39 = 35,163.32 : x
  2. Step 2: Convert to fraction form
    64,971.32/89,660.39 = 35,163.32/x
  3. Step 3: Cross multiply
    64,971.32x = 89,660.39 × 35,163.32
  4. Step 4: Simplify right side
    64,971.32x = 3,152,756,360.78
  5. Step 5: Solve for x
    x = 3,152,756,360.78/64,971.32
  6. Step 6: Final answer
    x = 48,525.36

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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.