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Finding the Fourth Proportional to 83,012.85, 114,523.07 and 54,339.53

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Solution

The fourth proportional to 83,012.85, 114,523.07 and 54,339.53 is: 74,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,012.85 : 114,523.07 = 54,339.53 : x
  2. Step 2: Convert to fraction form
    83,012.85/114,523.07 = 54,339.53/x
  3. Step 3: Cross multiply
    83,012.85x = 114,523.07 × 54,339.53
  4. Step 4: Simplify right side
    83,012.85x = 6,223,128,953.64
  5. Step 5: Solve for x
    x = 6,223,128,953.64/83,012.85
  6. Step 6: Final answer
    x = 74,965.85

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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.