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Finding the Fourth Proportional to 143,866.47, 198,472.73 and 137,196.12

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Solution

The fourth proportional to 143,866.47, 198,472.73 and 137,196.12 is: 189,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,866.47 : 198,472.73 = 137,196.12 : x
  2. Step 2: Convert to fraction form
    143,866.47/198,472.73 = 137,196.12/x
  3. Step 3: Cross multiply
    143,866.47x = 198,472.73 × 137,196.12
  4. Step 4: Simplify right side
    143,866.47x = 27,229,688,481.81
  5. Step 5: Solve for x
    x = 27,229,688,481.81/143,866.47
  6. Step 6: Final answer
    x = 189,270.57

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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.