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Finding the Fourth Proportional to 103,309.97, 154,831.76 and 49,989.42

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Solution

The fourth proportional to 103,309.97, 154,831.76 and 49,989.42 is: 74,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,309.97 : 154,831.76 = 49,989.42 : x
  2. Step 2: Convert to fraction form
    103,309.97/154,831.76 = 49,989.42/x
  3. Step 3: Cross multiply
    103,309.97x = 154,831.76 × 49,989.42
  4. Step 4: Simplify right side
    103,309.97x = 7,739,949,630.03
  5. Step 5: Solve for x
    x = 7,739,949,630.03/103,309.97
  6. Step 6: Final answer
    x = 74,919.68

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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.