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Finding the Fourth Proportional to 78,005.84, 117,020.92 and 25,403.10

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Solution

The fourth proportional to 78,005.84, 117,020.92 and 25,403.10 is: 38,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.84 : 117,020.92 = 25,403.10 : x
  2. Step 2: Convert to fraction form
    78,005.84/117,020.92 = 25,403.10/x
  3. Step 3: Cross multiply
    78,005.84x = 117,020.92 × 25,403.10
  4. Step 4: Simplify right side
    78,005.84x = 2,972,694,132.85
  5. Step 5: Solve for x
    x = 2,972,694,132.85/78,005.84
  6. Step 6: Final answer
    x = 38,108.61

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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.