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Finding the Fourth Proportional to 208,953.70, 313,635.35 and 103,891.30

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Solution

The fourth proportional to 208,953.70, 313,635.35 and 103,891.30 is: 155,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,953.70 : 313,635.35 = 103,891.30 : x
  2. Step 2: Convert to fraction form
    208,953.70/313,635.35 = 103,891.30/x
  3. Step 3: Cross multiply
    208,953.70x = 313,635.35 × 103,891.30
  4. Step 4: Simplify right side
    208,953.70x = 32,583,984,237.46
  5. Step 5: Solve for x
    x = 32,583,984,237.46/208,953.70
  6. Step 6: Final answer
    x = 155,938.78

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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.