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Finding the Fourth Proportional to 12,042.96, 18,077.40 and 10,116.24

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Solution

The fourth proportional to 12,042.96, 18,077.40 and 10,116.24 is: 15,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.96 : 18,077.40 = 10,116.24 : x
  2. Step 2: Convert to fraction form
    12,042.96/18,077.40 = 10,116.24/x
  3. Step 3: Cross multiply
    12,042.96x = 18,077.40 × 10,116.24
  4. Step 4: Simplify right side
    12,042.96x = 182,875,316.98
  5. Step 5: Solve for x
    x = 182,875,316.98/12,042.96
  6. Step 6: Final answer
    x = 15,185.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.