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Finding the Fourth Proportional to 205,087.95, 307,139.85 and 99,783.90

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Solution

The fourth proportional to 205,087.95, 307,139.85 and 99,783.90 is: 149,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.95 : 307,139.85 = 99,783.90 : x
  2. Step 2: Convert to fraction form
    205,087.95/307,139.85 = 99,783.90/x
  3. Step 3: Cross multiply
    205,087.95x = 307,139.85 × 99,783.90
  4. Step 4: Simplify right side
    205,087.95x = 30,647,612,078.42
  5. Step 5: Solve for x
    x = 30,647,612,078.42/205,087.95
  6. Step 6: Final answer
    x = 149,436.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.