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Finding the Fourth Proportional to 78,612, 117,937.44 and 26,026.80

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Solution

The fourth proportional to 78,612, 117,937.44 and 26,026.80 is: 39,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,612 : 117,937.44 = 26,026.80 : x
  2. Step 2: Convert to fraction form
    78,612/117,937.44 = 26,026.80/x
  3. Step 3: Cross multiply
    78,612x = 117,937.44 × 26,026.80
  4. Step 4: Simplify right side
    78,612x = 3,069,534,163.39
  5. Step 5: Solve for x
    x = 3,069,534,163.39/78,612
  6. Step 6: Final answer
    x = 39,046.64

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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.