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Finding the Fourth Proportional to 30,691.96, 42,355.34 and 18,116.71

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Solution

The fourth proportional to 30,691.96, 42,355.34 and 18,116.71 is: 25,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.96 : 42,355.34 = 18,116.71 : x
  2. Step 2: Convert to fraction form
    30,691.96/42,355.34 = 18,116.71/x
  3. Step 3: Cross multiply
    30,691.96x = 42,355.34 × 18,116.71
  4. Step 4: Simplify right side
    30,691.96x = 767,339,283.20
  5. Step 5: Solve for x
    x = 767,339,283.20/30,691.96
  6. Step 6: Final answer
    x = 25,001.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.