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Finding the Fourth Proportional to 71,409.89, 98,544.15 and 39,578.51

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Solution

The fourth proportional to 71,409.89, 98,544.15 and 39,578.51 is: 54,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.89 : 98,544.15 = 39,578.51 : x
  2. Step 2: Convert to fraction form
    71,409.89/98,544.15 = 39,578.51/x
  3. Step 3: Cross multiply
    71,409.89x = 98,544.15 × 39,578.51
  4. Step 4: Simplify right side
    71,409.89x = 3,900,230,133.50
  5. Step 5: Solve for x
    x = 3,900,230,133.50/71,409.89
  6. Step 6: Final answer
    x = 54,617.51

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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.