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Finding the Fourth Proportional to 221,084, 305,098.08 and 120,484.16

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Solution

The fourth proportional to 221,084, 305,098.08 and 120,484.16 is: 166,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,084 : 305,098.08 = 120,484.16 : x
  2. Step 2: Convert to fraction form
    221,084/305,098.08 = 120,484.16/x
  3. Step 3: Cross multiply
    221,084x = 305,098.08 × 120,484.16
  4. Step 4: Simplify right side
    221,084x = 36,759,485,886.41
  5. Step 5: Solve for x
    x = 36,759,485,886.41/221,084
  6. Step 6: Final answer
    x = 166,269.32

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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.