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Finding the Fourth Proportional to 65,157.54, 89,909.82 and 36,478.77

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Solution

The fourth proportional to 65,157.54, 89,909.82 and 36,478.77 is: 50,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.54 : 89,909.82 = 36,478.77 : x
  2. Step 2: Convert to fraction form
    65,157.54/89,909.82 = 36,478.77/x
  3. Step 3: Cross multiply
    65,157.54x = 89,909.82 × 36,478.77
  4. Step 4: Simplify right side
    65,157.54x = 3,279,799,644.52
  5. Step 5: Solve for x
    x = 3,279,799,644.52/65,157.54
  6. Step 6: Final answer
    x = 50,336.46

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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.