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Finding the Fourth Proportional to 75,668.31, 104,420.75 and 47,389.59

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Solution

The fourth proportional to 75,668.31, 104,420.75 and 47,389.59 is: 65,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,668.31 : 104,420.75 = 47,389.59 : x
  2. Step 2: Convert to fraction form
    75,668.31/104,420.75 = 47,389.59/x
  3. Step 3: Cross multiply
    75,668.31x = 104,420.75 × 47,389.59
  4. Step 4: Simplify right side
    75,668.31x = 4,948,456,293.04
  5. Step 5: Solve for x
    x = 4,948,456,293.04/75,668.31
  6. Step 6: Final answer
    x = 65,396.68

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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.