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Finding the Fourth Proportional to 221,416.50, 305,554.77 and 120,814.50

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Solution

The fourth proportional to 221,416.50, 305,554.77 and 120,814.50 is: 166,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,416.50 : 305,554.77 = 120,814.50 : x
  2. Step 2: Convert to fraction form
    221,416.50/305,554.77 = 120,814.50/x
  3. Step 3: Cross multiply
    221,416.50x = 305,554.77 × 120,814.50
  4. Step 4: Simplify right side
    221,416.50x = 36,915,446,760.17
  5. Step 5: Solve for x
    x = 36,915,446,760.17/221,416.50
  6. Step 6: Final answer
    x = 166,724.01

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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.