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Finding the Fourth Proportional to 342,099.05, 513,175.79 and 102,195.35

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Solution

The fourth proportional to 342,099.05, 513,175.79 and 102,195.35 is: 153,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,099.05 : 513,175.79 = 102,195.35 : x
  2. Step 2: Convert to fraction form
    342,099.05/513,175.79 = 102,195.35/x
  3. Step 3: Cross multiply
    342,099.05x = 513,175.79 × 102,195.35
  4. Step 4: Simplify right side
    342,099.05x = 52,444,176,393.72
  5. Step 5: Solve for x
    x = 52,444,176,393.72/342,099.05
  6. Step 6: Final answer
    x = 153,301.14

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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.