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Finding the Fourth Proportional to 65,761.60, 90,713.28 and 37,462

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Solution

The fourth proportional to 65,761.60, 90,713.28 and 37,462 is: 51,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.60 : 90,713.28 = 37,462 : x
  2. Step 2: Convert to fraction form
    65,761.60/90,713.28 = 37,462/x
  3. Step 3: Cross multiply
    65,761.60x = 90,713.28 × 37,462
  4. Step 4: Simplify right side
    65,761.60x = 3,398,300,895.36
  5. Step 5: Solve for x
    x = 3,398,300,895.36/65,761.60
  6. Step 6: Final answer
    x = 51,676.07

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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.