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Finding the Fourth Proportional to 90,020.20, 134,946.81 and 30,841.81

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Solution

The fourth proportional to 90,020.20, 134,946.81 and 30,841.81 is: 46,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,020.20 : 134,946.81 = 30,841.81 : x
  2. Step 2: Convert to fraction form
    90,020.20/134,946.81 = 30,841.81/x
  3. Step 3: Cross multiply
    90,020.20x = 134,946.81 × 30,841.81
  4. Step 4: Simplify right side
    90,020.20x = 4,162,003,874.13
  5. Step 5: Solve for x
    x = 4,162,003,874.13/90,020.20
  6. Step 6: Final answer
    x = 46,234.11

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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.