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Finding the Fourth Proportional to 210,939.51, 316,442.10 and 68,751.78

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Solution

The fourth proportional to 210,939.51, 316,442.10 and 68,751.78 is: 103,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,939.51 : 316,442.10 = 68,751.78 : x
  2. Step 2: Convert to fraction form
    210,939.51/316,442.10 = 68,751.78/x
  3. Step 3: Cross multiply
    210,939.51x = 316,442.10 × 68,751.78
  4. Step 4: Simplify right side
    210,939.51x = 21,755,957,641.94
  5. Step 5: Solve for x
    x = 21,755,957,641.94/210,939.51
  6. Step 6: Final answer
    x = 103,138.37

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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.