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Finding the Fourth Proportional to 109,791.86, 164,743.07 and 43,279.72

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Solution

The fourth proportional to 109,791.86, 164,743.07 and 43,279.72 is: 64,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,791.86 : 164,743.07 = 43,279.72 : x
  2. Step 2: Convert to fraction form
    109,791.86/164,743.07 = 43,279.72/x
  3. Step 3: Cross multiply
    109,791.86x = 164,743.07 × 43,279.72
  4. Step 4: Simplify right side
    109,791.86x = 7,130,033,313.28
  5. Step 5: Solve for x
    x = 7,130,033,313.28/109,791.86
  6. Step 6: Final answer
    x = 64,941.37

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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.