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Finding the Fourth Proportional to 78,522.54, 117,822.73 and 31,136.62

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Solution

The fourth proportional to 78,522.54, 117,822.73 and 31,136.62 is: 46,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,522.54 : 117,822.73 = 31,136.62 : x
  2. Step 2: Convert to fraction form
    78,522.54/117,822.73 = 31,136.62/x
  3. Step 3: Cross multiply
    78,522.54x = 117,822.73 × 31,136.62
  4. Step 4: Simplify right side
    78,522.54x = 3,668,601,354.66
  5. Step 5: Solve for x
    x = 3,668,601,354.66/78,522.54
  6. Step 6: Final answer
    x = 46,720.36

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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.