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Finding the Fourth Proportional to 221,216.93, 305,279.67 and 120,614.93

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Solution

The fourth proportional to 221,216.93, 305,279.67 and 120,614.93 is: 166,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,216.93 : 305,279.67 = 120,614.93 : x
  2. Step 2: Convert to fraction form
    221,216.93/305,279.67 = 120,614.93/x
  3. Step 3: Cross multiply
    221,216.93x = 305,279.67 × 120,614.93
  4. Step 4: Simplify right side
    221,216.93x = 36,821,286,027.47
  5. Step 5: Solve for x
    x = 36,821,286,027.47/221,216.93
  6. Step 6: Final answer
    x = 166,448.77

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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.