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Finding the Fourth Proportional to 71,771.30, 99,180.94 and 53,835.16

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Solution

The fourth proportional to 71,771.30, 99,180.94 and 53,835.16 is: 74,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,771.30 : 99,180.94 = 53,835.16 : x
  2. Step 2: Convert to fraction form
    71,771.30/99,180.94 = 53,835.16/x
  3. Step 3: Cross multiply
    71,771.30x = 99,180.94 × 53,835.16
  4. Step 4: Simplify right side
    71,771.30x = 5,339,421,773.85
  5. Step 5: Solve for x
    x = 5,339,421,773.85/71,771.30
  6. Step 6: Final answer
    x = 74,394.94

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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.