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Finding the Fourth Proportional to 90,645.88, 135,948.31 and 34,465.96

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Solution

The fourth proportional to 90,645.88, 135,948.31 and 34,465.96 is: 51,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645.88 : 135,948.31 = 34,465.96 : x
  2. Step 2: Convert to fraction form
    90,645.88/135,948.31 = 34,465.96/x
  3. Step 3: Cross multiply
    90,645.88x = 135,948.31 × 34,465.96
  4. Step 4: Simplify right side
    90,645.88x = 4,685,588,588.49
  5. Step 5: Solve for x
    x = 4,685,588,588.49/90,645.88
  6. Step 6: Final answer
    x = 51,691.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.