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Finding the Fourth Proportional to 221,018.96, 305,006 and 120,416.96

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Solution

The fourth proportional to 221,018.96, 305,006 and 120,416.96 is: 166,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,018.96 : 305,006 = 120,416.96 : x
  2. Step 2: Convert to fraction form
    221,018.96/305,006 = 120,416.96/x
  3. Step 3: Cross multiply
    221,018.96x = 305,006 × 120,416.96
  4. Step 4: Simplify right side
    221,018.96x = 36,727,895,301.76
  5. Step 5: Solve for x
    x = 36,727,895,301.76/221,018.96
  6. Step 6: Final answer
    x = 166,175.32

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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.