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Finding the Fourth Proportional to 138,831.40, 194,954.45 and 138,831.40

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Solution

The fourth proportional to 138,831.40, 194,954.45 and 138,831.40 is: 194,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,831.40 : 194,954.45 = 138,831.40 : x
  2. Step 2: Convert to fraction form
    138,831.40/194,954.45 = 138,831.40/x
  3. Step 3: Cross multiply
    138,831.40x = 194,954.45 × 138,831.40
  4. Step 4: Simplify right side
    138,831.40x = 27,065,799,229.73
  5. Step 5: Solve for x
    x = 27,065,799,229.73/138,831.40
  6. Step 6: Final answer
    x = 194,954.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.