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Finding the Fourth Proportional to 90,059.12, 135,078.44 and 24,390

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Solution

The fourth proportional to 90,059.12, 135,078.44 and 24,390 is: 36,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,059.12 : 135,078.44 = 24,390 : x
  2. Step 2: Convert to fraction form
    90,059.12/135,078.44 = 24,390/x
  3. Step 3: Cross multiply
    90,059.12x = 135,078.44 × 24,390
  4. Step 4: Simplify right side
    90,059.12x = 3,294,563,151.60
  5. Step 5: Solve for x
    x = 3,294,563,151.60/90,059.12
  6. Step 6: Final answer
    x = 36,582.23

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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.