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Finding the Fourth Proportional to 90,204.65, 135,159.21 and 48,039.96

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Solution

The fourth proportional to 90,204.65, 135,159.21 and 48,039.96 is: 71,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,204.65 : 135,159.21 = 48,039.96 : x
  2. Step 2: Convert to fraction form
    90,204.65/135,159.21 = 48,039.96/x
  3. Step 3: Cross multiply
    90,204.65x = 135,159.21 × 48,039.96
  4. Step 4: Simplify right side
    90,204.65x = 6,493,043,042.03
  5. Step 5: Solve for x
    x = 6,493,043,042.03/90,204.65
  6. Step 6: Final answer
    x = 71,981.25

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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.