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Finding the Fourth Proportional to 221,088.08, 305,101.56 and 120,486

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Solution

The fourth proportional to 221,088.08, 305,101.56 and 120,486 is: 166,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,088.08 : 305,101.56 = 120,486 : x
  2. Step 2: Convert to fraction form
    221,088.08/305,101.56 = 120,486/x
  3. Step 3: Cross multiply
    221,088.08x = 305,101.56 × 120,486
  4. Step 4: Simplify right side
    221,088.08x = 36,760,466,558.16
  5. Step 5: Solve for x
    x = 36,760,466,558.16/221,088.08
  6. Step 6: Final answer
    x = 166,270.69

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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.