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Finding the Fourth Proportional to 137,170.38, 189,293.73 and 75,916.69

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Solution

The fourth proportional to 137,170.38, 189,293.73 and 75,916.69 is: 104,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,170.38 : 189,293.73 = 75,916.69 : x
  2. Step 2: Convert to fraction form
    137,170.38/189,293.73 = 75,916.69/x
  3. Step 3: Cross multiply
    137,170.38x = 189,293.73 × 75,916.69
  4. Step 4: Simplify right side
    137,170.38x = 14,370,553,419.35
  5. Step 5: Solve for x
    x = 14,370,553,419.35/137,170.38
  6. Step 6: Final answer
    x = 104,764.26

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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.