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Finding the Fourth Proportional to 136,704, 188,658.81 and 80,133.60

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Solution

The fourth proportional to 136,704, 188,658.81 and 80,133.60 is: 110,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,704 : 188,658.81 = 80,133.60 : x
  2. Step 2: Convert to fraction form
    136,704/188,658.81 = 80,133.60/x
  3. Step 3: Cross multiply
    136,704x = 188,658.81 × 80,133.60
  4. Step 4: Simplify right side
    136,704x = 15,117,909,617.02
  5. Step 5: Solve for x
    x = 15,117,909,617.02/136,704
  6. Step 6: Final answer
    x = 110,588.64

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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.