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Finding the Fourth Proportional to 103,686.76, 155,529.87 and 41,401

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Solution

The fourth proportional to 103,686.76, 155,529.87 and 41,401 is: 62,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686.76 : 155,529.87 = 41,401 : x
  2. Step 2: Convert to fraction form
    103,686.76/155,529.87 = 41,401/x
  3. Step 3: Cross multiply
    103,686.76x = 155,529.87 × 41,401
  4. Step 4: Simplify right side
    103,686.76x = 6,439,092,147.87
  5. Step 5: Solve for x
    x = 6,439,092,147.87/103,686.76
  6. Step 6: Final answer
    x = 62,101.39

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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.