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Finding the Fourth Proportional to 122,398, 183,470.70 and 51,361.84

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Solution

The fourth proportional to 122,398, 183,470.70 and 51,361.84 is: 76,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,398 : 183,470.70 = 51,361.84 : x
  2. Step 2: Convert to fraction form
    122,398/183,470.70 = 51,361.84/x
  3. Step 3: Cross multiply
    122,398x = 183,470.70 × 51,361.84
  4. Step 4: Simplify right side
    122,398x = 9,423,392,738.09
  5. Step 5: Solve for x
    x = 9,423,392,738.09/122,398
  6. Step 6: Final answer
    x = 76,989.76

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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.