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Finding the Fourth Proportional to 144,881.20, 217,321.80 and 109,889.20

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Solution

The fourth proportional to 144,881.20, 217,321.80 and 109,889.20 is: 164,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,881.20 : 217,321.80 = 109,889.20 : x
  2. Step 2: Convert to fraction form
    144,881.20/217,321.80 = 109,889.20/x
  3. Step 3: Cross multiply
    144,881.20x = 217,321.80 × 109,889.20
  4. Step 4: Simplify right side
    144,881.20x = 23,881,318,744.56
  5. Step 5: Solve for x
    x = 23,881,318,744.56/144,881.20
  6. Step 6: Final answer
    x = 164,833.80

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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.