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Finding the Fourth Proportional to 53,157.60, 79,822.80 and 38,469.60

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Solution

The fourth proportional to 53,157.60, 79,822.80 and 38,469.60 is: 57,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,157.60 : 79,822.80 = 38,469.60 : x
  2. Step 2: Convert to fraction form
    53,157.60/79,822.80 = 38,469.60/x
  3. Step 3: Cross multiply
    53,157.60x = 79,822.80 × 38,469.60
  4. Step 4: Simplify right side
    53,157.60x = 3,070,751,186.88
  5. Step 5: Solve for x
    x = 3,070,751,186.88/53,157.60
  6. Step 6: Final answer
    x = 57,766.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.