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Finding the Fourth Proportional to 103,491.40, 155,237.10 and 41,161.90

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Solution

The fourth proportional to 103,491.40, 155,237.10 and 41,161.90 is: 61,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,491.40 : 155,237.10 = 41,161.90 : x
  2. Step 2: Convert to fraction form
    103,491.40/155,237.10 = 41,161.90/x
  3. Step 3: Cross multiply
    103,491.40x = 155,237.10 × 41,161.90
  4. Step 4: Simplify right side
    103,491.40x = 6,389,853,986.49
  5. Step 5: Solve for x
    x = 6,389,853,986.49/103,491.40
  6. Step 6: Final answer
    x = 61,742.85

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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.