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Finding the Fourth Proportional to 68,691.31, 103,051.77 and 21,305.46

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Solution

The fourth proportional to 68,691.31, 103,051.77 and 21,305.46 is: 31,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,691.31 : 103,051.77 = 21,305.46 : x
  2. Step 2: Convert to fraction form
    68,691.31/103,051.77 = 21,305.46/x
  3. Step 3: Cross multiply
    68,691.31x = 103,051.77 × 21,305.46
  4. Step 4: Simplify right side
    68,691.31x = 2,195,565,830.00
  5. Step 5: Solve for x
    x = 2,195,565,830.00/68,691.31
  6. Step 6: Final answer
    x = 31,962.79

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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.