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Finding the Fourth Proportional to 137,224.60, 205,817.70 and 43,739.80

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Solution

The fourth proportional to 137,224.60, 205,817.70 and 43,739.80 is: 65,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224.60 : 205,817.70 = 43,739.80 : x
  2. Step 2: Convert to fraction form
    137,224.60/205,817.70 = 43,739.80/x
  3. Step 3: Cross multiply
    137,224.60x = 205,817.70 × 43,739.80
  4. Step 4: Simplify right side
    137,224.60x = 9,002,425,034.46
  5. Step 5: Solve for x
    x = 9,002,425,034.46/137,224.60
  6. Step 6: Final answer
    x = 65,603.58

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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.