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Finding the Fourth Proportional to 77,245.36, 115,731.77 and 67,650.62

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Solution

The fourth proportional to 77,245.36, 115,731.77 and 67,650.62 is: 101,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.36 : 115,731.77 = 67,650.62 : x
  2. Step 2: Convert to fraction form
    77,245.36/115,731.77 = 67,650.62/x
  3. Step 3: Cross multiply
    77,245.36x = 115,731.77 × 67,650.62
  4. Step 4: Simplify right side
    77,245.36x = 7,829,325,077.29
  5. Step 5: Solve for x
    x = 7,829,325,077.29/77,245.36
  6. Step 6: Final answer
    x = 101,356.58

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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.