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Finding the Fourth Proportional to 210,396.96, 315,601.92 and 92,007.36

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Solution

The fourth proportional to 210,396.96, 315,601.92 and 92,007.36 is: 138,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,396.96 : 315,601.92 = 92,007.36 : x
  2. Step 2: Convert to fraction form
    210,396.96/315,601.92 = 92,007.36/x
  3. Step 3: Cross multiply
    210,396.96x = 315,601.92 × 92,007.36
  4. Step 4: Simplify right side
    210,396.96x = 29,037,699,470.13
  5. Step 5: Solve for x
    x = 29,037,699,470.13/210,396.96
  6. Step 6: Final answer
    x = 138,013.87

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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.