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Finding the Fourth Proportional to 136,644.80, 204,991.77 and 65,507.15

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Solution

The fourth proportional to 136,644.80, 204,991.77 and 65,507.15 is: 98,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,644.80 : 204,991.77 = 65,507.15 : x
  2. Step 2: Convert to fraction form
    136,644.80/204,991.77 = 65,507.15/x
  3. Step 3: Cross multiply
    136,644.80x = 204,991.77 × 65,507.15
  4. Step 4: Simplify right side
    136,644.80x = 13,428,425,601.20
  5. Step 5: Solve for x
    x = 13,428,425,601.20/136,644.80
  6. Step 6: Final answer
    x = 98,272.50

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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.