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Finding the Fourth Proportional to 208,598.37, 287,863.98 and 117,972.12

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Solution

The fourth proportional to 208,598.37, 287,863.98 and 117,972.12 is: 162,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,598.37 : 287,863.98 = 117,972.12 : x
  2. Step 2: Convert to fraction form
    208,598.37/287,863.98 = 117,972.12/x
  3. Step 3: Cross multiply
    208,598.37x = 287,863.98 × 117,972.12
  4. Step 4: Simplify right side
    208,598.37x = 33,959,923,992.24
  5. Step 5: Solve for x
    x = 33,959,923,992.24/208,598.37
  6. Step 6: Final answer
    x = 162,800.52

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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.