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Finding the Fourth Proportional to 208,889.48, 313,442.22 and 103,706.12

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Solution

The fourth proportional to 208,889.48, 313,442.22 and 103,706.12 is: 155,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.48 : 313,442.22 = 103,706.12 : x
  2. Step 2: Convert to fraction form
    208,889.48/313,442.22 = 103,706.12/x
  3. Step 3: Cross multiply
    208,889.48x = 313,442.22 × 103,706.12
  4. Step 4: Simplify right side
    208,889.48x = 32,505,876,480.39
  5. Step 5: Solve for x
    x = 32,505,876,480.39/208,889.48
  6. Step 6: Final answer
    x = 155,612.80

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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.