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Finding the Fourth Proportional to 221,269.08, 305,350.88 and 120,667.08

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Solution

The fourth proportional to 221,269.08, 305,350.88 and 120,667.08 is: 166,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,269.08 : 305,350.88 = 120,667.08 : x
  2. Step 2: Convert to fraction form
    221,269.08/305,350.88 = 120,667.08/x
  3. Step 3: Cross multiply
    221,269.08x = 305,350.88 × 120,667.08
  4. Step 4: Simplify right side
    221,269.08x = 36,845,799,065.03
  5. Step 5: Solve for x
    x = 36,845,799,065.03/221,269.08
  6. Step 6: Final answer
    x = 166,520.32

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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.