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Finding the Fourth Proportional to 83,290.53, 114,941.88 and 45,050.85

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Solution

The fourth proportional to 83,290.53, 114,941.88 and 45,050.85 is: 62,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.53 : 114,941.88 = 45,050.85 : x
  2. Step 2: Convert to fraction form
    83,290.53/114,941.88 = 45,050.85/x
  3. Step 3: Cross multiply
    83,290.53x = 114,941.88 × 45,050.85
  4. Step 4: Simplify right side
    83,290.53x = 5,178,229,394.60
  5. Step 5: Solve for x
    x = 5,178,229,394.60/83,290.53
  6. Step 6: Final answer
    x = 62,170.69

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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.