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Finding the Fourth Proportional to 100,219.46, 138,297.50 and 54,895.10

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Solution

The fourth proportional to 100,219.46, 138,297.50 and 54,895.10 is: 75,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.46 : 138,297.50 = 54,895.10 : x
  2. Step 2: Convert to fraction form
    100,219.46/138,297.50 = 54,895.10/x
  3. Step 3: Cross multiply
    100,219.46x = 138,297.50 × 54,895.10
  4. Step 4: Simplify right side
    100,219.46x = 7,591,855,092.25
  5. Step 5: Solve for x
    x = 7,591,855,092.25/100,219.46
  6. Step 6: Final answer
    x = 75,752.30

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1.5x scale

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.