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Finding the Fourth Proportional to 109,751.20, 164,972.40 and 101,456.80

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Solution

The fourth proportional to 109,751.20, 164,972.40 and 101,456.80 is: 152,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,751.20 : 164,972.40 = 101,456.80 : x
  2. Step 2: Convert to fraction form
    109,751.20/164,972.40 = 101,456.80/x
  3. Step 3: Cross multiply
    109,751.20x = 164,972.40 × 101,456.80
  4. Step 4: Simplify right side
    109,751.20x = 16,737,571,792.32
  5. Step 5: Solve for x
    x = 16,737,571,792.32/109,751.20
  6. Step 6: Final answer
    x = 152,504.68

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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.