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Finding the Fourth Proportional to 83,164.38, 114,766.64 and 45,438.90

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Solution

The fourth proportional to 83,164.38, 114,766.64 and 45,438.90 is: 62,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,164.38 : 114,766.64 = 45,438.90 : x
  2. Step 2: Convert to fraction form
    83,164.38/114,766.64 = 45,438.90/x
  3. Step 3: Cross multiply
    83,164.38x = 114,766.64 × 45,438.90
  4. Step 4: Simplify right side
    83,164.38x = 5,214,869,878.30
  5. Step 5: Solve for x
    x = 5,214,869,878.30/83,164.38
  6. Step 6: Final answer
    x = 62,705.57

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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.