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Finding the Fourth Proportional to 221,723.72, 305,978.68 and 119,749.24

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Solution

The fourth proportional to 221,723.72, 305,978.68 and 119,749.24 is: 165,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,723.72 : 305,978.68 = 119,749.24 : x
  2. Step 2: Convert to fraction form
    221,723.72/305,978.68 = 119,749.24/x
  3. Step 3: Cross multiply
    221,723.72x = 305,978.68 × 119,749.24
  4. Step 4: Simplify right side
    221,723.72x = 36,640,714,386.20
  5. Step 5: Solve for x
    x = 36,640,714,386.20/221,723.72
  6. Step 6: Final answer
    x = 165,253.92

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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.