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Finding the Fourth Proportional to 143,993.71, 198,746.90 and 87,452.47

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Solution

The fourth proportional to 143,993.71, 198,746.90 and 87,452.47 is: 120,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,993.71 : 198,746.90 = 87,452.47 : x
  2. Step 2: Convert to fraction form
    143,993.71/198,746.90 = 87,452.47/x
  3. Step 3: Cross multiply
    143,993.71x = 198,746.90 × 87,452.47
  4. Step 4: Simplify right side
    143,993.71x = 17,380,907,309.84
  5. Step 5: Solve for x
    x = 17,380,907,309.84/143,993.71
  6. Step 6: Final answer
    x = 120,706.02

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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.