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Finding the Fourth Proportional to 144,463.78, 199,361.28 and 80,807.50

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Solution

The fourth proportional to 144,463.78, 199,361.28 and 80,807.50 is: 111,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,463.78 : 199,361.28 = 80,807.50 : x
  2. Step 2: Convert to fraction form
    144,463.78/199,361.28 = 80,807.50/x
  3. Step 3: Cross multiply
    144,463.78x = 199,361.28 × 80,807.50
  4. Step 4: Simplify right side
    144,463.78x = 16,109,886,633.60
  5. Step 5: Solve for x
    x = 16,109,886,633.60/144,463.78
  6. Step 6: Final answer
    x = 111,515.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.