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Finding the Fourth Proportional to 143,613.56, 198,195.38 and 83,203.22

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Solution

The fourth proportional to 143,613.56, 198,195.38 and 83,203.22 is: 114,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,613.56 : 198,195.38 = 83,203.22 : x
  2. Step 2: Convert to fraction form
    143,613.56/198,195.38 = 83,203.22/x
  3. Step 3: Cross multiply
    143,613.56x = 198,195.38 × 83,203.22
  4. Step 4: Simplify right side
    143,613.56x = 16,490,492,398.13
  5. Step 5: Solve for x
    x = 16,490,492,398.13/143,613.56
  6. Step 6: Final answer
    x = 114,825.46

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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.