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Finding the Fourth Proportional to 210,843.86, 316,265.51 and 68,688.90

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Solution

The fourth proportional to 210,843.86, 316,265.51 and 68,688.90 is: 103,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843.86 : 316,265.51 = 68,688.90 : x
  2. Step 2: Convert to fraction form
    210,843.86/316,265.51 = 68,688.90/x
  3. Step 3: Cross multiply
    210,843.86x = 316,265.51 × 68,688.90
  4. Step 4: Simplify right side
    210,843.86x = 21,723,930,161.56
  5. Step 5: Solve for x
    x = 21,723,930,161.56/210,843.86
  6. Step 6: Final answer
    x = 103,033.26

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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.