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Finding the Fourth Proportional to 135,705.39, 187,276.44 and 75,274.07

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Solution

The fourth proportional to 135,705.39, 187,276.44 and 75,274.07 is: 103,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,705.39 : 187,276.44 = 75,274.07 : x
  2. Step 2: Convert to fraction form
    135,705.39/187,276.44 = 75,274.07/x
  3. Step 3: Cross multiply
    135,705.39x = 187,276.44 × 75,274.07
  4. Step 4: Simplify right side
    135,705.39x = 14,097,058,917.53
  5. Step 5: Solve for x
    x = 14,097,058,917.53/135,705.39
  6. Step 6: Final answer
    x = 103,879.87

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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.