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Finding the Fourth Proportional to 200,615.26, 300,875.13 and 80,672.50

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Solution

The fourth proportional to 200,615.26, 300,875.13 and 80,672.50 is: 120,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,615.26 : 300,875.13 = 80,672.50 : x
  2. Step 2: Convert to fraction form
    200,615.26/300,875.13 = 80,672.50/x
  3. Step 3: Cross multiply
    200,615.26x = 300,875.13 × 80,672.50
  4. Step 4: Simplify right side
    200,615.26x = 24,272,348,924.93
  5. Step 5: Solve for x
    x = 24,272,348,924.93/200,615.26
  6. Step 6: Final answer
    x = 120,989.54

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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.