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Finding the Fourth Proportional to 135,022.71, 186,325.72 and 77,657.70

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Solution

The fourth proportional to 135,022.71, 186,325.72 and 77,657.70 is: 107,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,022.71 : 186,325.72 = 77,657.70 : x
  2. Step 2: Convert to fraction form
    135,022.71/186,325.72 = 77,657.70/x
  3. Step 3: Cross multiply
    135,022.71x = 186,325.72 × 77,657.70
  4. Step 4: Simplify right side
    135,022.71x = 14,469,627,370.62
  5. Step 5: Solve for x
    x = 14,469,627,370.62/135,022.71
  6. Step 6: Final answer
    x = 107,164.39

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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.