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Finding the Fourth Proportional to 135,202.66, 186,572.32 and 74,769.77

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Solution

The fourth proportional to 135,202.66, 186,572.32 and 74,769.77 is: 103,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,202.66 : 186,572.32 = 74,769.77 : x
  2. Step 2: Convert to fraction form
    135,202.66/186,572.32 = 74,769.77/x
  3. Step 3: Cross multiply
    135,202.66x = 186,572.32 × 74,769.77
  4. Step 4: Simplify right side
    135,202.66x = 13,949,969,454.77
  5. Step 5: Solve for x
    x = 13,949,969,454.77/135,202.66
  6. Step 6: Final answer
    x = 103,178.22

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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.