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Finding the Fourth Proportional to 65,872.27, 90,903.78 and 35,657.50

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Solution

The fourth proportional to 65,872.27, 90,903.78 and 35,657.50 is: 49,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872.27 : 90,903.78 = 35,657.50 : x
  2. Step 2: Convert to fraction form
    65,872.27/90,903.78 = 35,657.50/x
  3. Step 3: Cross multiply
    65,872.27x = 90,903.78 × 35,657.50
  4. Step 4: Simplify right side
    65,872.27x = 3,241,401,535.35
  5. Step 5: Solve for x
    x = 3,241,401,535.35/65,872.27
  6. Step 6: Final answer
    x = 49,207.38

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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.