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Finding the Fourth Proportional to 71,711.25, 98,964.08 and 39,448.41

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Solution

The fourth proportional to 71,711.25, 98,964.08 and 39,448.41 is: 54,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,711.25 : 98,964.08 = 39,448.41 : x
  2. Step 2: Convert to fraction form
    71,711.25/98,964.08 = 39,448.41/x
  3. Step 3: Cross multiply
    71,711.25x = 98,964.08 × 39,448.41
  4. Step 4: Simplify right side
    71,711.25x = 3,903,975,603.11
  5. Step 5: Solve for x
    x = 3,903,975,603.11/71,711.25
  6. Step 6: Final answer
    x = 54,440.21

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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.