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Finding the Fourth Proportional to 78,157.85, 117,212.82 and 28,231.79

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Solution

The fourth proportional to 78,157.85, 117,212.82 and 28,231.79 is: 42,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.85 : 117,212.82 = 28,231.79 : x
  2. Step 2: Convert to fraction form
    78,157.85/117,212.82 = 28,231.79/x
  3. Step 3: Cross multiply
    78,157.85x = 117,212.82 × 28,231.79
  4. Step 4: Simplify right side
    78,157.85x = 3,309,127,719.55
  5. Step 5: Solve for x
    x = 3,309,127,719.55/78,157.85
  6. Step 6: Final answer
    x = 42,339.03

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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.