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Finding the Fourth Proportional to 97,489.92, 146,255.56 and 30,921.28

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Solution

The fourth proportional to 97,489.92, 146,255.56 and 30,921.28 is: 46,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,489.92 : 146,255.56 = 30,921.28 : x
  2. Step 2: Convert to fraction form
    97,489.92/146,255.56 = 30,921.28/x
  3. Step 3: Cross multiply
    97,489.92x = 146,255.56 × 30,921.28
  4. Step 4: Simplify right side
    97,489.92x = 4,522,409,122.32
  5. Step 5: Solve for x
    x = 4,522,409,122.32/97,489.92
  6. Step 6: Final answer
    x = 46,388.48

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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.