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Finding the Fourth Proportional to 221,091.78, 305,155.78 and 140,503.50

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Solution

The fourth proportional to 221,091.78, 305,155.78 and 140,503.50 is: 193,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,091.78 : 305,155.78 = 140,503.50 : x
  2. Step 2: Convert to fraction form
    221,091.78/305,155.78 = 140,503.50/x
  3. Step 3: Cross multiply
    221,091.78x = 305,155.78 × 140,503.50
  4. Step 4: Simplify right side
    221,091.78x = 42,875,455,135.23
  5. Step 5: Solve for x
    x = 42,875,455,135.23/221,091.78
  6. Step 6: Final answer
    x = 193,926.05

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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.