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Finding the Fourth Proportional to 159,648.30, 239,144.40 and 109,784.70

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Solution

The fourth proportional to 159,648.30, 239,144.40 and 109,784.70 is: 164,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,648.30 : 239,144.40 = 109,784.70 : x
  2. Step 2: Convert to fraction form
    159,648.30/239,144.40 = 109,784.70/x
  3. Step 3: Cross multiply
    159,648.30x = 239,144.40 × 109,784.70
  4. Step 4: Simplify right side
    159,648.30x = 26,254,396,210.68
  5. Step 5: Solve for x
    x = 26,254,396,210.68/159,648.30
  6. Step 6: Final answer
    x = 164,451.46

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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.