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Finding the Fourth Proportional to 71,690.34, 98,930.09 and 39,424.68

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Solution

The fourth proportional to 71,690.34, 98,930.09 and 39,424.68 is: 54,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,690.34 : 98,930.09 = 39,424.68 : x
  2. Step 2: Convert to fraction form
    71,690.34/98,930.09 = 39,424.68/x
  3. Step 3: Cross multiply
    71,690.34x = 98,930.09 × 39,424.68
  4. Step 4: Simplify right side
    71,690.34x = 3,900,286,943.50
  5. Step 5: Solve for x
    x = 3,900,286,943.50/71,690.34
  6. Step 6: Final answer
    x = 54,404.64

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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.