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Finding the Fourth Proportional to 143,989.64, 198,706.82 and 80,317.16

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Solution

The fourth proportional to 143,989.64, 198,706.82 and 80,317.16 is: 110,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,989.64 : 198,706.82 = 80,317.16 : x
  2. Step 2: Convert to fraction form
    143,989.64/198,706.82 = 80,317.16/x
  3. Step 3: Cross multiply
    143,989.64x = 198,706.82 × 80,317.16
  4. Step 4: Simplify right side
    143,989.64x = 15,959,567,455.03
  5. Step 5: Solve for x
    x = 15,959,567,455.03/143,989.64
  6. Step 6: Final answer
    x = 110,838.30

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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.