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Finding the Fourth Proportional to 221,789.86, 305,751.32 and 158,016.94

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Solution

The fourth proportional to 221,789.86, 305,751.32 and 158,016.94 is: 217,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,789.86 : 305,751.32 = 158,016.94 : x
  2. Step 2: Convert to fraction form
    221,789.86/305,751.32 = 158,016.94/x
  3. Step 3: Cross multiply
    221,789.86x = 305,751.32 × 158,016.94
  4. Step 4: Simplify right side
    221,789.86x = 48,313,887,987.36
  5. Step 5: Solve for x
    x = 48,313,887,987.36/221,789.86
  6. Step 6: Final answer
    x = 217,836.32

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1.5x scale

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.