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Finding the Fourth Proportional to 210,613.54, 315,975.70 and 75,691.24

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Solution

The fourth proportional to 210,613.54, 315,975.70 and 75,691.24 is: 113,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,613.54 : 315,975.70 = 75,691.24 : x
  2. Step 2: Convert to fraction form
    210,613.54/315,975.70 = 75,691.24/x
  3. Step 3: Cross multiply
    210,613.54x = 315,975.70 × 75,691.24
  4. Step 4: Simplify right side
    210,613.54x = 23,916,592,542.87
  5. Step 5: Solve for x
    x = 23,916,592,542.87/210,613.54
  6. Step 6: Final answer
    x = 113,556.77

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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.