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Finding the Fourth Proportional to 103,806, 155,719.94 and 47,636.55

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Solution

The fourth proportional to 103,806, 155,719.94 and 47,636.55 is: 71,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806 : 155,719.94 = 47,636.55 : x
  2. Step 2: Convert to fraction form
    103,806/155,719.94 = 47,636.55/x
  3. Step 3: Cross multiply
    103,806x = 155,719.94 × 47,636.55
  4. Step 4: Simplify right side
    103,806x = 7,417,960,469.62
  5. Step 5: Solve for x
    x = 7,417,960,469.62/103,806
  6. Step 6: Final answer
    x = 71,459.84

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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.