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Finding the Fourth Proportional to 102,791.92, 154,246.20 and 40,506.16

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Solution

The fourth proportional to 102,791.92, 154,246.20 and 40,506.16 is: 60,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791.92 : 154,246.20 = 40,506.16 : x
  2. Step 2: Convert to fraction form
    102,791.92/154,246.20 = 40,506.16/x
  3. Step 3: Cross multiply
    102,791.92x = 154,246.20 × 40,506.16
  4. Step 4: Simplify right side
    102,791.92x = 6,247,921,256.59
  5. Step 5: Solve for x
    x = 6,247,921,256.59/102,791.92
  6. Step 6: Final answer
    x = 60,782.22

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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.