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Finding the Fourth Proportional to 60,431.92, 90,640.44 and 30,871.12

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Solution

The fourth proportional to 60,431.92, 90,640.44 and 30,871.12 is: 46,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,431.92 : 90,640.44 = 30,871.12 : x
  2. Step 2: Convert to fraction form
    60,431.92/90,640.44 = 30,871.12/x
  3. Step 3: Cross multiply
    60,431.92x = 90,640.44 × 30,871.12
  4. Step 4: Simplify right side
    60,431.92x = 2,798,171,900.09
  5. Step 5: Solve for x
    x = 2,798,171,900.09/60,431.92
  6. Step 6: Final answer
    x = 46,302.88

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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.