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Finding the Fourth Proportional to 208,399.91, 287,592.17 and 112,906.60

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Solution

The fourth proportional to 208,399.91, 287,592.17 and 112,906.60 is: 155,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,399.91 : 287,592.17 = 112,906.60 : x
  2. Step 2: Convert to fraction form
    208,399.91/287,592.17 = 112,906.60/x
  3. Step 3: Cross multiply
    208,399.91x = 287,592.17 × 112,906.60
  4. Step 4: Simplify right side
    208,399.91x = 32,471,054,101.32
  5. Step 5: Solve for x
    x = 32,471,054,101.32/208,399.91
  6. Step 6: Final answer
    x = 155,811.27

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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.