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Finding the Fourth Proportional to 146,882.40, 202,683.78 and 83,220

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Solution

The fourth proportional to 146,882.40, 202,683.78 and 83,220 is: 114,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,882.40 : 202,683.78 = 83,220 : x
  2. Step 2: Convert to fraction form
    146,882.40/202,683.78 = 83,220/x
  3. Step 3: Cross multiply
    146,882.40x = 202,683.78 × 83,220
  4. Step 4: Simplify right side
    146,882.40x = 16,867,344,171.60
  5. Step 5: Solve for x
    x = 16,867,344,171.60/146,882.40
  6. Step 6: Final answer
    x = 114,835.71

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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.