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Finding the Fourth Proportional to 148,871.28, 205,388.28 and 97,911.48

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Solution

The fourth proportional to 148,871.28, 205,388.28 and 97,911.48 is: 135,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,871.28 : 205,388.28 = 97,911.48 : x
  2. Step 2: Convert to fraction form
    148,871.28/205,388.28 = 97,911.48/x
  3. Step 3: Cross multiply
    148,871.28x = 205,388.28 × 97,911.48
  4. Step 4: Simplify right side
    148,871.28x = 20,109,870,469.45
  5. Step 5: Solve for x
    x = 20,109,870,469.45/148,871.28
  6. Step 6: Final answer
    x = 135,082.27

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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.