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Finding the Fourth Proportional to 204,139.95, 305,766.75 and 98,737.89

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Solution

The fourth proportional to 204,139.95, 305,766.75 and 98,737.89 is: 147,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,139.95 : 305,766.75 = 98,737.89 : x
  2. Step 2: Convert to fraction form
    204,139.95/305,766.75 = 98,737.89/x
  3. Step 3: Cross multiply
    204,139.95x = 305,766.75 × 98,737.89
  4. Step 4: Simplify right side
    204,139.95x = 30,190,763,727.16
  5. Step 5: Solve for x
    x = 30,190,763,727.16/204,139.95
  6. Step 6: Final answer
    x = 147,892.48

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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.