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Finding the Fourth Proportional to 83,198.02, 114,813 and 45,472.26

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Solution

The fourth proportional to 83,198.02, 114,813 and 45,472.26 is: 62,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.02 : 114,813 = 45,472.26 : x
  2. Step 2: Convert to fraction form
    83,198.02/114,813 = 45,472.26/x
  3. Step 3: Cross multiply
    83,198.02x = 114,813 × 45,472.26
  4. Step 4: Simplify right side
    83,198.02x = 5,220,806,587.38
  5. Step 5: Solve for x
    x = 5,220,806,587.38/83,198.02
  6. Step 6: Final answer
    x = 62,751.57

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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.