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Finding the Fourth Proportional to 65,676.81, 90,634.10 and 37,382.50

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Solution

The fourth proportional to 65,676.81, 90,634.10 and 37,382.50 is: 51,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.81 : 90,634.10 = 37,382.50 : x
  2. Step 2: Convert to fraction form
    65,676.81/90,634.10 = 37,382.50/x
  3. Step 3: Cross multiply
    65,676.81x = 90,634.10 × 37,382.50
  4. Step 4: Simplify right side
    65,676.81x = 3,388,129,243.25
  5. Step 5: Solve for x
    x = 3,388,129,243.25/65,676.81
  6. Step 6: Final answer
    x = 51,587.91

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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.