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Finding the Fourth Proportional to 143,999.49, 198,493 and 98,598.96

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Solution

The fourth proportional to 143,999.49, 198,493 and 98,598.96 is: 135,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,999.49 : 198,493 = 98,598.96 : x
  2. Step 2: Convert to fraction form
    143,999.49/198,493 = 98,598.96/x
  3. Step 3: Cross multiply
    143,999.49x = 198,493 × 98,598.96
  4. Step 4: Simplify right side
    143,999.49x = 19,571,203,367.28
  5. Step 5: Solve for x
    x = 19,571,203,367.28/143,999.49
  6. Step 6: Final answer
    x = 135,911.62

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1.5x scale

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.