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Finding the Fourth Proportional to 221,683.32, 305,924.19 and 121,081.32

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Solution

The fourth proportional to 221,683.32, 305,924.19 and 121,081.32 is: 167,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,683.32 : 305,924.19 = 121,081.32 : x
  2. Step 2: Convert to fraction form
    221,683.32/305,924.19 = 121,081.32/x
  3. Step 3: Cross multiply
    221,683.32x = 305,924.19 × 121,081.32
  4. Step 4: Simplify right side
    221,683.32x = 37,041,704,745.13
  5. Step 5: Solve for x
    x = 37,041,704,745.13/221,683.32
  6. Step 6: Final answer
    x = 167,092.88

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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.