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Finding the Fourth Proportional to 206,892, 310,356 and 57,132.48

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Solution

The fourth proportional to 206,892, 310,356 and 57,132.48 is: 85,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892 : 310,356 = 57,132.48 : x
  2. Step 2: Convert to fraction form
    206,892/310,356 = 57,132.48/x
  3. Step 3: Cross multiply
    206,892x = 310,356 × 57,132.48
  4. Step 4: Simplify right side
    206,892x = 17,731,407,962.88
  5. Step 5: Solve for x
    x = 17,731,407,962.88/206,892
  6. Step 6: Final answer
    x = 85,703.69

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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.