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Finding the Fourth Proportional to 137,290.11, 189,404.06 and 83,532.03

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Solution

The fourth proportional to 137,290.11, 189,404.06 and 83,532.03 is: 115,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,290.11 : 189,404.06 = 83,532.03 : x
  2. Step 2: Convert to fraction form
    137,290.11/189,404.06 = 83,532.03/x
  3. Step 3: Cross multiply
    137,290.11x = 189,404.06 × 83,532.03
  4. Step 4: Simplify right side
    137,290.11x = 15,821,305,204.38
  5. Step 5: Solve for x
    x = 15,821,305,204.38/137,290.11
  6. Step 6: Final answer
    x = 115,239.95

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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.