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Finding the Fourth Proportional to 90,070.68, 135,073.62 and 30,891

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Solution

The fourth proportional to 90,070.68, 135,073.62 and 30,891 is: 46,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,070.68 : 135,073.62 = 30,891 : x
  2. Step 2: Convert to fraction form
    90,070.68/135,073.62 = 30,891/x
  3. Step 3: Cross multiply
    90,070.68x = 135,073.62 × 30,891
  4. Step 4: Simplify right side
    90,070.68x = 4,172,559,195.42
  5. Step 5: Solve for x
    x = 4,172,559,195.42/90,070.68
  6. Step 6: Final answer
    x = 46,325.39

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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.