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Finding the Fourth Proportional to 83,668.30, 115,461.80 and 45,427.54

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Solution

The fourth proportional to 83,668.30, 115,461.80 and 45,427.54 is: 62,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668.30 : 115,461.80 = 45,427.54 : x
  2. Step 2: Convert to fraction form
    83,668.30/115,461.80 = 45,427.54/x
  3. Step 3: Cross multiply
    83,668.30x = 115,461.80 × 45,427.54
  4. Step 4: Simplify right side
    83,668.30x = 5,245,145,537.97
  5. Step 5: Solve for x
    x = 5,245,145,537.97/83,668.30
  6. Step 6: Final answer
    x = 62,689.76

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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.