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Finding the Fourth Proportional to 100,648.20, 150,971.76 and 25,768.20

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Solution

The fourth proportional to 100,648.20, 150,971.76 and 25,768.20 is: 38,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,648.20 : 150,971.76 = 25,768.20 : x
  2. Step 2: Convert to fraction form
    100,648.20/150,971.76 = 25,768.20/x
  3. Step 3: Cross multiply
    100,648.20x = 150,971.76 × 25,768.20
  4. Step 4: Simplify right side
    100,648.20x = 3,890,270,506.03
  5. Step 5: Solve for x
    x = 3,890,270,506.03/100,648.20
  6. Step 6: Final answer
    x = 38,652.16

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1.5x scale

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.