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Finding the Fourth Proportional to 221,060, 305,062.74 and 120,458

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Solution

The fourth proportional to 221,060, 305,062.74 and 120,458 is: 166,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,060 : 305,062.74 = 120,458 : x
  2. Step 2: Convert to fraction form
    221,060/305,062.74 = 120,458/x
  3. Step 3: Cross multiply
    221,060x = 305,062.74 × 120,458
  4. Step 4: Simplify right side
    221,060x = 36,747,247,534.92
  5. Step 5: Solve for x
    x = 36,747,247,534.92/221,060
  6. Step 6: Final answer
    x = 166,232.01

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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.