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Finding the Fourth Proportional to 221,091.28, 305,155.08 and 140,503

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Solution

The fourth proportional to 221,091.28, 305,155.08 and 140,503 is: 193,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,091.28 : 305,155.08 = 140,503 : x
  2. Step 2: Convert to fraction form
    221,091.28/305,155.08 = 140,503/x
  3. Step 3: Cross multiply
    221,091.28x = 305,155.08 × 140,503
  4. Step 4: Simplify right side
    221,091.28x = 42,875,204,205.24
  5. Step 5: Solve for x
    x = 42,875,204,205.24/221,091.28
  6. Step 6: Final answer
    x = 193,925.35

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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.