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Finding the Fourth Proportional to 143,606.89, 198,160.31 and 83,169.14

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Solution

The fourth proportional to 143,606.89, 198,160.31 and 83,169.14 is: 114,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,606.89 : 198,160.31 = 83,169.14 : x
  2. Step 2: Convert to fraction form
    143,606.89/198,160.31 = 83,169.14/x
  3. Step 3: Cross multiply
    143,606.89x = 198,160.31 × 83,169.14
  4. Step 4: Simplify right side
    143,606.89x = 16,480,822,564.83
  5. Step 5: Solve for x
    x = 16,480,822,564.83/143,606.89
  6. Step 6: Final answer
    x = 114,763.45

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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.