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Finding the Fourth Proportional to 90,023.60, 135,023.52 and 23,468.64

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Solution

The fourth proportional to 90,023.60, 135,023.52 and 23,468.64 is: 35,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,023.60 : 135,023.52 = 23,468.64 : x
  2. Step 2: Convert to fraction form
    90,023.60/135,023.52 = 23,468.64/x
  3. Step 3: Cross multiply
    90,023.60x = 135,023.52 × 23,468.64
  4. Step 4: Simplify right side
    90,023.60x = 3,168,818,382.41
  5. Step 5: Solve for x
    x = 3,168,818,382.41/90,023.60
  6. Step 6: Final answer
    x = 35,199.86

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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.