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Finding the Fourth Proportional to 77,117.22, 115,597.05 and 43,766.82

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Solution

The fourth proportional to 77,117.22, 115,597.05 and 43,766.82 is: 65,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117.22 : 115,597.05 = 43,766.82 : x
  2. Step 2: Convert to fraction form
    77,117.22/115,597.05 = 43,766.82/x
  3. Step 3: Cross multiply
    77,117.22x = 115,597.05 × 43,766.82
  4. Step 4: Simplify right side
    77,117.22x = 5,059,315,279.88
  5. Step 5: Solve for x
    x = 5,059,315,279.88/77,117.22
  6. Step 6: Final answer
    x = 65,605.52

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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.