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Finding the Fourth Proportional to 208,071.90, 312,121.80 and 73,119.54

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Solution

The fourth proportional to 208,071.90, 312,121.80 and 73,119.54 is: 109,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,071.90 : 312,121.80 = 73,119.54 : x
  2. Step 2: Convert to fraction form
    208,071.90/312,121.80 = 73,119.54/x
  3. Step 3: Cross multiply
    208,071.90x = 312,121.80 × 73,119.54
  4. Step 4: Simplify right side
    208,071.90x = 22,822,202,439.97
  5. Step 5: Solve for x
    x = 22,822,202,439.97/208,071.90
  6. Step 6: Final answer
    x = 109,684.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.