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Finding the Fourth Proportional to 135,054.78, 186,377.57 and 74,626.82

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Solution

The fourth proportional to 135,054.78, 186,377.57 and 74,626.82 is: 102,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,054.78 : 186,377.57 = 74,626.82 : x
  2. Step 2: Convert to fraction form
    135,054.78/186,377.57 = 74,626.82/x
  3. Step 3: Cross multiply
    135,054.78x = 186,377.57 × 74,626.82
  4. Step 4: Simplify right side
    135,054.78x = 13,908,765,368.43
  5. Step 5: Solve for x
    x = 13,908,765,368.43/135,054.78
  6. Step 6: Final answer
    x = 102,986.10

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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.