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Finding the Fourth Proportional to 142,654.67, 196,863.31 and 78,992.47

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Solution

The fourth proportional to 142,654.67, 196,863.31 and 78,992.47 is: 109,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.67 : 196,863.31 = 78,992.47 : x
  2. Step 2: Convert to fraction form
    142,654.67/196,863.31 = 78,992.47/x
  3. Step 3: Cross multiply
    142,654.67x = 196,863.31 × 78,992.47
  4. Step 4: Simplify right side
    142,654.67x = 15,550,718,346.74
  5. Step 5: Solve for x
    x = 15,550,718,346.74/142,654.67
  6. Step 6: Final answer
    x = 109,009.53

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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.