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Finding the Fourth Proportional to 204,013.60, 305,655.90 and 98,600.20

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Solution

The fourth proportional to 204,013.60, 305,655.90 and 98,600.20 is: 147,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,013.60 : 305,655.90 = 98,600.20 : x
  2. Step 2: Convert to fraction form
    204,013.60/305,655.90 = 98,600.20/x
  3. Step 3: Cross multiply
    204,013.60x = 305,655.90 × 98,600.20
  4. Step 4: Simplify right side
    204,013.60x = 30,137,732,871.18
  5. Step 5: Solve for x
    x = 30,137,732,871.18/204,013.60
  6. Step 6: Final answer
    x = 147,724.14

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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.