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Finding the Fourth Proportional to 143,869, 198,536.94 and 80,210.68

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Solution

The fourth proportional to 143,869, 198,536.94 and 80,210.68 is: 110,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,869 : 198,536.94 = 80,210.68 : x
  2. Step 2: Convert to fraction form
    143,869/198,536.94 = 80,210.68/x
  3. Step 3: Cross multiply
    143,869x = 198,536.94 × 80,210.68
  4. Step 4: Simplify right side
    143,869x = 15,924,782,962.52
  5. Step 5: Solve for x
    x = 15,924,782,962.52/143,869
  6. Step 6: Final answer
    x = 110,689.47

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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.