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Finding the Fourth Proportional to 208,000.52, 287,040.78 and 117,375.74

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Solution

The fourth proportional to 208,000.52, 287,040.78 and 117,375.74 is: 161,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.52 : 287,040.78 = 117,375.74 : x
  2. Step 2: Convert to fraction form
    208,000.52/287,040.78 = 117,375.74/x
  3. Step 3: Cross multiply
    208,000.52x = 287,040.78 × 117,375.74
  4. Step 4: Simplify right side
    208,000.52x = 33,691,623,962.68
  5. Step 5: Solve for x
    x = 33,691,623,962.68/208,000.52
  6. Step 6: Final answer
    x = 161,978.56

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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.