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Finding the Fourth Proportional to 65,278.50, 90,084.42 and 36,986.10

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Solution

The fourth proportional to 65,278.50, 90,084.42 and 36,986.10 is: 51,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278.50 : 90,084.42 = 36,986.10 : x
  2. Step 2: Convert to fraction form
    65,278.50/90,084.42 = 36,986.10/x
  3. Step 3: Cross multiply
    65,278.50x = 90,084.42 × 36,986.10
  4. Step 4: Simplify right side
    65,278.50x = 3,331,871,366.56
  5. Step 5: Solve for x
    x = 3,331,871,366.56/65,278.50
  6. Step 6: Final answer
    x = 51,040.87

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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.