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Finding the Fourth Proportional to 208,078.47, 287,149.63 and 122,019.94

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Solution

The fourth proportional to 208,078.47, 287,149.63 and 122,019.94 is: 168,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.47 : 287,149.63 = 122,019.94 : x
  2. Step 2: Convert to fraction form
    208,078.47/287,149.63 = 122,019.94/x
  3. Step 3: Cross multiply
    208,078.47x = 287,149.63 × 122,019.94
  4. Step 4: Simplify right side
    208,078.47x = 35,037,980,623.62
  5. Step 5: Solve for x
    x = 35,037,980,623.62/208,078.47
  6. Step 6: Final answer
    x = 168,388.30

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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.