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Finding the Fourth Proportional to 90,405.60, 135,509.88 and 77,217.96

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Solution

The fourth proportional to 90,405.60, 135,509.88 and 77,217.96 is: 115,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405.60 : 135,509.88 = 77,217.96 : x
  2. Step 2: Convert to fraction form
    90,405.60/135,509.88 = 77,217.96/x
  3. Step 3: Cross multiply
    90,405.60x = 135,509.88 × 77,217.96
  4. Step 4: Simplify right side
    90,405.60x = 10,463,796,493.44
  5. Step 5: Solve for x
    x = 10,463,796,493.44/90,405.60
  6. Step 6: Final answer
    x = 115,742.79

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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.