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Finding the Fourth Proportional to 221,265.57, 305,346.06 and 120,663.57

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Solution

The fourth proportional to 221,265.57, 305,346.06 and 120,663.57 is: 166,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,265.57 : 305,346.06 = 120,663.57 : x
  2. Step 2: Convert to fraction form
    221,265.57/305,346.06 = 120,663.57/x
  3. Step 3: Cross multiply
    221,265.57x = 305,346.06 × 120,663.57
  4. Step 4: Simplify right side
    221,265.57x = 36,844,145,685.03
  5. Step 5: Solve for x
    x = 36,844,145,685.03/221,265.57
  6. Step 6: Final answer
    x = 166,515.49

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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.