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Finding the Fourth Proportional to 114,361.70, 171,510 and 72,178.64

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Solution

The fourth proportional to 114,361.70, 171,510 and 72,178.64 is: 108,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,361.70 : 171,510 = 72,178.64 : x
  2. Step 2: Convert to fraction form
    114,361.70/171,510 = 72,178.64/x
  3. Step 3: Cross multiply
    114,361.70x = 171,510 × 72,178.64
  4. Step 4: Simplify right side
    114,361.70x = 12,379,358,546.40
  5. Step 5: Solve for x
    x = 12,379,358,546.40/114,361.70
  6. Step 6: Final answer
    x = 108,247.42

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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.