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Finding the Fourth Proportional to 221,064.24, 305,069.04 and 120,462.24

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Solution

The fourth proportional to 221,064.24, 305,069.04 and 120,462.24 is: 166,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,064.24 : 305,069.04 = 120,462.24 : x
  2. Step 2: Convert to fraction form
    221,064.24/305,069.04 = 120,462.24/x
  3. Step 3: Cross multiply
    221,064.24x = 305,069.04 × 120,462.24
  4. Step 4: Simplify right side
    221,064.24x = 36,749,299,913.05
  5. Step 5: Solve for x
    x = 36,749,299,913.05/221,064.24
  6. Step 6: Final answer
    x = 166,238.10

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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.