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Finding the Fourth Proportional to 159,594.40, 220,231.44 and 87,974.32

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Solution

The fourth proportional to 159,594.40, 220,231.44 and 87,974.32 is: 121,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,594.40 : 220,231.44 = 87,974.32 : x
  2. Step 2: Convert to fraction form
    159,594.40/220,231.44 = 87,974.32/x
  3. Step 3: Cross multiply
    159,594.40x = 220,231.44 × 87,974.32
  4. Step 4: Simplify right side
    159,594.40x = 19,374,711,176.62
  5. Step 5: Solve for x
    x = 19,374,711,176.62/159,594.40
  6. Step 6: Final answer
    x = 121,399.69

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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.