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Finding the Fourth Proportional to 208,952.20, 313,633.10 and 103,889.80

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Solution

The fourth proportional to 208,952.20, 313,633.10 and 103,889.80 is: 155,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,952.20 : 313,633.10 = 103,889.80 : x
  2. Step 2: Convert to fraction form
    208,952.20/313,633.10 = 103,889.80/x
  3. Step 3: Cross multiply
    208,952.20x = 313,633.10 × 103,889.80
  4. Step 4: Simplify right side
    208,952.20x = 32,583,280,032.38
  5. Step 5: Solve for x
    x = 32,583,280,032.38/208,952.20
  6. Step 6: Final answer
    x = 155,936.53

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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.