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Finding the Fourth Proportional to 65,265.80, 90,058.86 and 36,578.86

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Solution

The fourth proportional to 65,265.80, 90,058.86 and 36,578.86 is: 50,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.80 : 90,058.86 = 36,578.86 : x
  2. Step 2: Convert to fraction form
    65,265.80/90,058.86 = 36,578.86/x
  3. Step 3: Cross multiply
    65,265.80x = 90,058.86 × 36,578.86
  4. Step 4: Simplify right side
    65,265.80x = 3,294,250,206.55
  5. Step 5: Solve for x
    x = 3,294,250,206.55/65,265.80
  6. Step 6: Final answer
    x = 50,474.37

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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.