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Finding the Fourth Proportional to 65,903.45, 90,947.20 and 35,688.78

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Solution

The fourth proportional to 65,903.45, 90,947.20 and 35,688.78 is: 49,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.45 : 90,947.20 = 35,688.78 : x
  2. Step 2: Convert to fraction form
    65,903.45/90,947.20 = 35,688.78/x
  3. Step 3: Cross multiply
    65,903.45x = 90,947.20 × 35,688.78
  4. Step 4: Simplify right side
    65,903.45x = 3,245,794,523.19
  5. Step 5: Solve for x
    x = 3,245,794,523.19/65,903.45
  6. Step 6: Final answer
    x = 49,250.75

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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.