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Finding the Fourth Proportional to 136,659.40, 204,989.10 and 83,206.60

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Solution

The fourth proportional to 136,659.40, 204,989.10 and 83,206.60 is: 124,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,659.40 : 204,989.10 = 83,206.60 : x
  2. Step 2: Convert to fraction form
    136,659.40/204,989.10 = 83,206.60/x
  3. Step 3: Cross multiply
    136,659.40x = 204,989.10 × 83,206.60
  4. Step 4: Simplify right side
    136,659.40x = 17,056,446,048.06
  5. Step 5: Solve for x
    x = 17,056,446,048.06/136,659.40
  6. Step 6: Final answer
    x = 124,809.90

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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.