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Finding the Fourth Proportional to 65,374.94, 90,221.38 and 36,704

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Solution

The fourth proportional to 65,374.94, 90,221.38 and 36,704 is: 50,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,374.94 : 90,221.38 = 36,704 : x
  2. Step 2: Convert to fraction form
    65,374.94/90,221.38 = 36,704/x
  3. Step 3: Cross multiply
    65,374.94x = 90,221.38 × 36,704
  4. Step 4: Simplify right side
    65,374.94x = 3,311,485,531.52
  5. Step 5: Solve for x
    x = 3,311,485,531.52/65,374.94
  6. Step 6: Final answer
    x = 50,653.74

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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.