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Finding the Fourth Proportional to 136,900.60, 205,331.70 and 43,415.80

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Solution

The fourth proportional to 136,900.60, 205,331.70 and 43,415.80 is: 65,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,900.60 : 205,331.70 = 43,415.80 : x
  2. Step 2: Convert to fraction form
    136,900.60/205,331.70 = 43,415.80/x
  3. Step 3: Cross multiply
    136,900.60x = 205,331.70 × 43,415.80
  4. Step 4: Simplify right side
    136,900.60x = 8,914,640,020.86
  5. Step 5: Solve for x
    x = 8,914,640,020.86/136,900.60
  6. Step 6: Final answer
    x = 65,117.61

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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.