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Finding the Fourth Proportional to 56,651, 84,939 and 31,693.66

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Solution

The fourth proportional to 56,651, 84,939 and 31,693.66 is: 47,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,651 : 84,939 = 31,693.66 : x
  2. Step 2: Convert to fraction form
    56,651/84,939 = 31,693.66/x
  3. Step 3: Cross multiply
    56,651x = 84,939 × 31,693.66
  4. Step 4: Simplify right side
    56,651x = 2,692,027,786.74
  5. Step 5: Solve for x
    x = 2,692,027,786.74/56,651
  6. Step 6: Final answer
    x = 47,519.51

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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.