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Finding the Fourth Proportional to 101,194.40, 151,791.60 and 31,077.20

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Solution

The fourth proportional to 101,194.40, 151,791.60 and 31,077.20 is: 46,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194.40 : 151,791.60 = 31,077.20 : x
  2. Step 2: Convert to fraction form
    101,194.40/151,791.60 = 31,077.20/x
  3. Step 3: Cross multiply
    101,194.40x = 151,791.60 × 31,077.20
  4. Step 4: Simplify right side
    101,194.40x = 4,717,257,911.52
  5. Step 5: Solve for x
    x = 4,717,257,911.52/101,194.40
  6. Step 6: Final answer
    x = 46,615.80

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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.