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Finding the Fourth Proportional to 221,548, 305,737.52 and 120,947.04

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Solution

The fourth proportional to 221,548, 305,737.52 and 120,947.04 is: 166,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,548 : 305,737.52 = 120,947.04 : x
  2. Step 2: Convert to fraction form
    221,548/305,737.52 = 120,947.04/x
  3. Step 3: Cross multiply
    221,548x = 305,737.52 × 120,947.04
  4. Step 4: Simplify right side
    221,548x = 36,978,048,060.94
  5. Step 5: Solve for x
    x = 36,978,048,060.94/221,548
  6. Step 6: Final answer
    x = 166,907.61

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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.