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Finding the Fourth Proportional to 90,465.99, 135,699.86 and 34,291

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Solution

The fourth proportional to 90,465.99, 135,699.86 and 34,291 is: 51,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.99 : 135,699.86 = 34,291 : x
  2. Step 2: Convert to fraction form
    90,465.99/135,699.86 = 34,291/x
  3. Step 3: Cross multiply
    90,465.99x = 135,699.86 × 34,291
  4. Step 4: Simplify right side
    90,465.99x = 4,653,283,899.26
  5. Step 5: Solve for x
    x = 4,653,283,899.26/90,465.99
  6. Step 6: Final answer
    x = 51,436.83

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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.