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Finding the Fourth Proportional to 135,419.87, 186,863.49 and 78,058.52

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Solution

The fourth proportional to 135,419.87, 186,863.49 and 78,058.52 is: 107,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,419.87 : 186,863.49 = 78,058.52 : x
  2. Step 2: Convert to fraction form
    135,419.87/186,863.49 = 78,058.52/x
  3. Step 3: Cross multiply
    135,419.87x = 186,863.49 × 78,058.52
  4. Step 4: Simplify right side
    135,419.87x = 14,586,286,537.12
  5. Step 5: Solve for x
    x = 14,586,286,537.12/135,419.87
  6. Step 6: Final answer
    x = 107,711.57

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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.