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Finding the Fourth Proportional to 65,165.50, 89,928.39 and 35,357.50

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Solution

The fourth proportional to 65,165.50, 89,928.39 and 35,357.50 is: 48,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.50 : 89,928.39 = 35,357.50 : x
  2. Step 2: Convert to fraction form
    65,165.50/89,928.39 = 35,357.50/x
  3. Step 3: Cross multiply
    65,165.50x = 89,928.39 × 35,357.50
  4. Step 4: Simplify right side
    65,165.50x = 3,179,643,049.43
  5. Step 5: Solve for x
    x = 3,179,643,049.43/65,165.50
  6. Step 6: Final answer
    x = 48,793.35

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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.