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Finding the Fourth Proportional to 135,494.17, 186,981.82 and 75,068.57

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Solution

The fourth proportional to 135,494.17, 186,981.82 and 75,068.57 is: 103,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,494.17 : 186,981.82 = 75,068.57 : x
  2. Step 2: Convert to fraction form
    135,494.17/186,981.82 = 75,068.57/x
  3. Step 3: Cross multiply
    135,494.17x = 186,981.82 × 75,068.57
  4. Step 4: Simplify right side
    135,494.17x = 14,036,458,123.18
  5. Step 5: Solve for x
    x = 14,036,458,123.18/135,494.17
  6. Step 6: Final answer
    x = 103,594.56

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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.