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Finding the Fourth Proportional to 135,114.30, 186,469.20 and 78,522

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Solution

The fourth proportional to 135,114.30, 186,469.20 and 78,522 is: 108,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,114.30 : 186,469.20 = 78,522 : x
  2. Step 2: Convert to fraction form
    135,114.30/186,469.20 = 78,522/x
  3. Step 3: Cross multiply
    135,114.30x = 186,469.20 × 78,522
  4. Step 4: Simplify right side
    135,114.30x = 14,641,934,522.40
  5. Step 5: Solve for x
    x = 14,641,934,522.40/135,114.30
  6. Step 6: Final answer
    x = 108,367.02

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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.