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Finding the Fourth Proportional to 206,668.86, 310,010.94 and 56,920.74

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Solution

The fourth proportional to 206,668.86, 310,010.94 and 56,920.74 is: 85,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,668.86 : 310,010.94 = 56,920.74 : x
  2. Step 2: Convert to fraction form
    206,668.86/310,010.94 = 56,920.74/x
  3. Step 3: Cross multiply
    206,668.86x = 310,010.94 × 56,920.74
  4. Step 4: Simplify right side
    206,668.86x = 17,646,052,112.90
  5. Step 5: Solve for x
    x = 17,646,052,112.90/206,668.86
  6. Step 6: Final answer
    x = 85,383.22

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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.