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Finding the Fourth Proportional to 65,507.85, 90,391.72 and 36,823.46

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Solution

The fourth proportional to 65,507.85, 90,391.72 and 36,823.46 is: 50,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.85 : 90,391.72 = 36,823.46 : x
  2. Step 2: Convert to fraction form
    65,507.85/90,391.72 = 36,823.46/x
  3. Step 3: Cross multiply
    65,507.85x = 90,391.72 × 36,823.46
  4. Step 4: Simplify right side
    65,507.85x = 3,328,535,659.77
  5. Step 5: Solve for x
    x = 3,328,535,659.77/65,507.85
  6. Step 6: Final answer
    x = 50,811.25

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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.