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Finding the Fourth Proportional to 71,980.70, 107,922.45 and 38,252.30

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Solution

The fourth proportional to 71,980.70, 107,922.45 and 38,252.30 is: 57,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,980.70 : 107,922.45 = 38,252.30 : x
  2. Step 2: Convert to fraction form
    71,980.70/107,922.45 = 38,252.30/x
  3. Step 3: Cross multiply
    71,980.70x = 107,922.45 × 38,252.30
  4. Step 4: Simplify right side
    71,980.70x = 4,128,281,934.14
  5. Step 5: Solve for x
    x = 4,128,281,934.14/71,980.70
  6. Step 6: Final answer
    x = 57,352.62

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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.