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Finding the Fourth Proportional to 90,407.95, 135,517.80 and 30,391.81

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Solution

The fourth proportional to 90,407.95, 135,517.80 and 30,391.81 is: 45,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,407.95 : 135,517.80 = 30,391.81 : x
  2. Step 2: Convert to fraction form
    90,407.95/135,517.80 = 30,391.81/x
  3. Step 3: Cross multiply
    90,407.95x = 135,517.80 × 30,391.81
  4. Step 4: Simplify right side
    90,407.95x = 4,118,631,229.22
  5. Step 5: Solve for x
    x = 4,118,631,229.22/90,407.95
  6. Step 6: Final answer
    x = 45,556.07

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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.