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Finding the Fourth Proportional to 221,221.13, 305,285.76 and 120,619.13

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Solution

The fourth proportional to 221,221.13, 305,285.76 and 120,619.13 is: 166,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,221.13 : 305,285.76 = 120,619.13 : x
  2. Step 2: Convert to fraction form
    221,221.13/305,285.76 = 120,619.13/x
  3. Step 3: Cross multiply
    221,221.13x = 305,285.76 × 120,619.13
  4. Step 4: Simplify right side
    221,221.13x = 36,823,301,246.16
  5. Step 5: Solve for x
    x = 36,823,301,246.16/221,221.13
  6. Step 6: Final answer
    x = 166,454.72

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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.