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Finding the Fourth Proportional to 65,260.72, 90,074.28 and 36,982

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Solution

The fourth proportional to 65,260.72, 90,074.28 and 36,982 is: 51,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260.72 : 90,074.28 = 36,982 : x
  2. Step 2: Convert to fraction form
    65,260.72/90,074.28 = 36,982/x
  3. Step 3: Cross multiply
    65,260.72x = 90,074.28 × 36,982
  4. Step 4: Simplify right side
    65,260.72x = 3,331,127,022.96
  5. Step 5: Solve for x
    x = 3,331,127,022.96/65,260.72
  6. Step 6: Final answer
    x = 51,043.37

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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.