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Finding the Fourth Proportional to 209,062.72, 313,632.96 and 68,831.20

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Solution

The fourth proportional to 209,062.72, 313,632.96 and 68,831.20 is: 103,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.72 : 313,632.96 = 68,831.20 : x
  2. Step 2: Convert to fraction form
    209,062.72/313,632.96 = 68,831.20/x
  3. Step 3: Cross multiply
    209,062.72x = 313,632.96 × 68,831.20
  4. Step 4: Simplify right side
    209,062.72x = 21,587,732,996.35
  5. Step 5: Solve for x
    x = 21,587,732,996.35/209,062.72
  6. Step 6: Final answer
    x = 103,259.60

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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.