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Finding the Fourth Proportional to 71,578.42, 98,782.32 and 39,749.37

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Solution

The fourth proportional to 71,578.42, 98,782.32 and 39,749.37 is: 54,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.42 : 98,782.32 = 39,749.37 : x
  2. Step 2: Convert to fraction form
    71,578.42/98,782.32 = 39,749.37/x
  3. Step 3: Cross multiply
    71,578.42x = 98,782.32 × 39,749.37
  4. Step 4: Simplify right side
    71,578.42x = 3,926,534,987.14
  5. Step 5: Solve for x
    x = 3,926,534,987.14/71,578.42
  6. Step 6: Final answer
    x = 54,856.41

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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.