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Finding the Fourth Proportional to 135,072.92, 186,391.35 and 74,643

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Solution

The fourth proportional to 135,072.92, 186,391.35 and 74,643 is: 103,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,072.92 : 186,391.35 = 74,643 : x
  2. Step 2: Convert to fraction form
    135,072.92/186,391.35 = 74,643/x
  3. Step 3: Cross multiply
    135,072.92x = 186,391.35 × 74,643
  4. Step 4: Simplify right side
    135,072.92x = 13,912,809,538.05
  5. Step 5: Solve for x
    x = 13,912,809,538.05/135,072.92
  6. Step 6: Final answer
    x = 103,002.22

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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.