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Finding the Fourth Proportional to 135,296.70, 186,705.72 and 74,869.92

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Solution

The fourth proportional to 135,296.70, 186,705.72 and 74,869.92 is: 103,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296.70 : 186,705.72 = 74,869.92 : x
  2. Step 2: Convert to fraction form
    135,296.70/186,705.72 = 74,869.92/x
  3. Step 3: Cross multiply
    135,296.70x = 186,705.72 × 74,869.92
  4. Step 4: Simplify right side
    135,296.70x = 13,978,642,319.94
  5. Step 5: Solve for x
    x = 13,978,642,319.94/135,296.70
  6. Step 6: Final answer
    x = 103,318.43

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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.