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Finding the Fourth Proportional to 90,483.95, 135,696.20 and 30,496.33

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Solution

The fourth proportional to 90,483.95, 135,696.20 and 30,496.33 is: 45,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,483.95 : 135,696.20 = 30,496.33 : x
  2. Step 2: Convert to fraction form
    90,483.95/135,696.20 = 30,496.33/x
  3. Step 3: Cross multiply
    90,483.95x = 135,696.20 × 30,496.33
  4. Step 4: Simplify right side
    90,483.95x = 4,138,236,094.95
  5. Step 5: Solve for x
    x = 4,138,236,094.95/90,483.95
  6. Step 6: Final answer
    x = 45,734.48

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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.