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Finding the Fourth Proportional to 109,472.80, 164,209.20 and 100,615.45

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Solution

The fourth proportional to 109,472.80, 164,209.20 and 100,615.45 is: 150,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,472.80 : 164,209.20 = 100,615.45 : x
  2. Step 2: Convert to fraction form
    109,472.80/164,209.20 = 100,615.45/x
  3. Step 3: Cross multiply
    109,472.80x = 164,209.20 × 100,615.45
  4. Step 4: Simplify right side
    109,472.80x = 16,521,982,552.14
  5. Step 5: Solve for x
    x = 16,521,982,552.14/109,472.80
  6. Step 6: Final answer
    x = 150,923.18

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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.