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Finding the Fourth Proportional to 103,423.70, 155,212.35 and 41,138.90

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Solution

The fourth proportional to 103,423.70, 155,212.35 and 41,138.90 is: 61,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,423.70 : 155,212.35 = 41,138.90 : x
  2. Step 2: Convert to fraction form
    103,423.70/155,212.35 = 41,138.90/x
  3. Step 3: Cross multiply
    103,423.70x = 155,212.35 × 41,138.90
  4. Step 4: Simplify right side
    103,423.70x = 6,385,265,345.42
  5. Step 5: Solve for x
    x = 6,385,265,345.42/103,423.70
  6. Step 6: Final answer
    x = 61,738.90

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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.