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Finding the Fourth Proportional to 208,100.28, 287,179.71 and 122,041.72

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Solution

The fourth proportional to 208,100.28, 287,179.71 and 122,041.72 is: 168,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,100.28 : 287,179.71 = 122,041.72 : x
  2. Step 2: Convert to fraction form
    208,100.28/287,179.71 = 122,041.72/x
  3. Step 3: Cross multiply
    208,100.28x = 287,179.71 × 122,041.72
  4. Step 4: Simplify right side
    208,100.28x = 35,047,904,321.60
  5. Step 5: Solve for x
    x = 35,047,904,321.60/208,100.28
  6. Step 6: Final answer
    x = 168,418.34

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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.