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Finding the Fourth Proportional to 206,712.95, 310,051.20 and 56,939.90

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Solution

The fourth proportional to 206,712.95, 310,051.20 and 56,939.90 is: 85,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712.95 : 310,051.20 = 56,939.90 : x
  2. Step 2: Convert to fraction form
    206,712.95/310,051.20 = 56,939.90/x
  3. Step 3: Cross multiply
    206,712.95x = 310,051.20 × 56,939.90
  4. Step 4: Simplify right side
    206,712.95x = 17,654,284,322.88
  5. Step 5: Solve for x
    x = 17,654,284,322.88/206,712.95
  6. Step 6: Final answer
    x = 85,404.83

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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.