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Finding the Fourth Proportional to 206,330.08, 309,541.56 and 73,210.09

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Solution

The fourth proportional to 206,330.08, 309,541.56 and 73,210.09 is: 109,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,330.08 : 309,541.56 = 73,210.09 : x
  2. Step 2: Convert to fraction form
    206,330.08/309,541.56 = 73,210.09/x
  3. Step 3: Cross multiply
    206,330.08x = 309,541.56 × 73,210.09
  4. Step 4: Simplify right side
    206,330.08x = 22,661,565,466.34
  5. Step 5: Solve for x
    x = 22,661,565,466.34/206,330.08
  6. Step 6: Final answer
    x = 109,831.61

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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.