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Finding the Fourth Proportional to 342,103.45, 513,227.62 and 102,236.02

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Solution

The fourth proportional to 342,103.45, 513,227.62 and 102,236.02 is: 153,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103.45 : 513,227.62 = 102,236.02 : x
  2. Step 2: Convert to fraction form
    342,103.45/513,227.62 = 102,236.02/x
  3. Step 3: Cross multiply
    342,103.45x = 513,227.62 × 102,236.02
  4. Step 4: Simplify right side
    342,103.45x = 52,470,350,666.96
  5. Step 5: Solve for x
    x = 52,470,350,666.96/342,103.45
  6. Step 6: Final answer
    x = 153,375.68

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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.