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Finding the Fourth Proportional to 78,658.44, 118,007.82 and 26,082.60

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Solution

The fourth proportional to 78,658.44, 118,007.82 and 26,082.60 is: 39,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,658.44 : 118,007.82 = 26,082.60 : x
  2. Step 2: Convert to fraction form
    78,658.44/118,007.82 = 26,082.60/x
  3. Step 3: Cross multiply
    78,658.44x = 118,007.82 × 26,082.60
  4. Step 4: Simplify right side
    78,658.44x = 3,077,950,765.93
  5. Step 5: Solve for x
    x = 3,077,950,765.93/78,658.44
  6. Step 6: Final answer
    x = 39,130.58

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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.