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Finding the Fourth Proportional to 77,203.26, 106,536.87 and 43,662.78

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Solution

The fourth proportional to 77,203.26, 106,536.87 and 43,662.78 is: 60,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,203.26 : 106,536.87 = 43,662.78 : x
  2. Step 2: Convert to fraction form
    77,203.26/106,536.87 = 43,662.78/x
  3. Step 3: Cross multiply
    77,203.26x = 106,536.87 × 43,662.78
  4. Step 4: Simplify right side
    77,203.26x = 4,651,695,916.70
  5. Step 5: Solve for x
    x = 4,651,695,916.70/77,203.26
  6. Step 6: Final answer
    x = 60,252.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.