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Finding the Fourth Proportional to 159,718.60, 239,318.70 and 100,448.20

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Solution

The fourth proportional to 159,718.60, 239,318.70 and 100,448.20 is: 150,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,718.60 : 239,318.70 = 100,448.20 : x
  2. Step 2: Convert to fraction form
    159,718.60/239,318.70 = 100,448.20/x
  3. Step 3: Cross multiply
    159,718.60x = 239,318.70 × 100,448.20
  4. Step 4: Simplify right side
    159,718.60x = 24,039,132,641.34
  5. Step 5: Solve for x
    x = 24,039,132,641.34/159,718.60
  6. Step 6: Final answer
    x = 150,509.29

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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.