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Finding the Fourth Proportional to 78,083.56, 117,113.10 and 25,481.44

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Solution

The fourth proportional to 78,083.56, 117,113.10 and 25,481.44 is: 38,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,083.56 : 117,113.10 = 25,481.44 : x
  2. Step 2: Convert to fraction form
    78,083.56/117,113.10 = 25,481.44/x
  3. Step 3: Cross multiply
    78,083.56x = 117,113.10 × 25,481.44
  4. Step 4: Simplify right side
    78,083.56x = 2,984,210,430.86
  5. Step 5: Solve for x
    x = 2,984,210,430.86/78,083.56
  6. Step 6: Final answer
    x = 38,218.17

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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.