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Finding the Fourth Proportional to 221,301.78, 305,396.10 and 120,699.78

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Solution

The fourth proportional to 221,301.78, 305,396.10 and 120,699.78 is: 166,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,301.78 : 305,396.10 = 120,699.78 : x
  2. Step 2: Convert to fraction form
    221,301.78/305,396.10 = 120,699.78/x
  3. Step 3: Cross multiply
    221,301.78x = 305,396.10 × 120,699.78
  4. Step 4: Simplify right side
    221,301.78x = 36,861,242,082.86
  5. Step 5: Solve for x
    x = 36,861,242,082.86/221,301.78
  6. Step 6: Final answer
    x = 166,565.50

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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.