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Finding the Fourth Proportional to 200,531.77, 300,835.62 and 80,598.06

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Solution

The fourth proportional to 200,531.77, 300,835.62 and 80,598.06 is: 120,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531.77 : 300,835.62 = 80,598.06 : x
  2. Step 2: Convert to fraction form
    200,531.77/300,835.62 = 80,598.06/x
  3. Step 3: Cross multiply
    200,531.77x = 300,835.62 × 80,598.06
  4. Step 4: Simplify right side
    200,531.77x = 24,246,767,350.90
  5. Step 5: Solve for x
    x = 24,246,767,350.90/200,531.77
  6. Step 6: Final answer
    x = 120,912.35

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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.