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Finding the Fourth Proportional to 145,226.40, 217,839.60 and 109,744.80

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Solution

The fourth proportional to 145,226.40, 217,839.60 and 109,744.80 is: 164,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,226.40 : 217,839.60 = 109,744.80 : x
  2. Step 2: Convert to fraction form
    145,226.40/217,839.60 = 109,744.80/x
  3. Step 3: Cross multiply
    145,226.40x = 217,839.60 × 109,744.80
  4. Step 4: Simplify right side
    145,226.40x = 23,906,763,334.08
  5. Step 5: Solve for x
    x = 23,906,763,334.08/145,226.40
  6. Step 6: Final answer
    x = 164,617.20

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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.