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Finding the Fourth Proportional to 103,808.25, 155,723.31 and 47,638.80

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Solution

The fourth proportional to 103,808.25, 155,723.31 and 47,638.80 is: 71,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,808.25 : 155,723.31 = 47,638.80 : x
  2. Step 2: Convert to fraction form
    103,808.25/155,723.31 = 47,638.80/x
  3. Step 3: Cross multiply
    103,808.25x = 155,723.31 × 47,638.80
  4. Step 4: Simplify right side
    103,808.25x = 7,418,471,620.43
  5. Step 5: Solve for x
    x = 7,418,471,620.43/103,808.25
  6. Step 6: Final answer
    x = 71,463.22

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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.