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Finding the Fourth Proportional to 208,679.85, 287,980.38 and 118,036.80

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Solution

The fourth proportional to 208,679.85, 287,980.38 and 118,036.80 is: 162,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,679.85 : 287,980.38 = 118,036.80 : x
  2. Step 2: Convert to fraction form
    208,679.85/287,980.38 = 118,036.80/x
  3. Step 3: Cross multiply
    208,679.85x = 287,980.38 × 118,036.80
  4. Step 4: Simplify right side
    208,679.85x = 33,992,282,517.98
  5. Step 5: Solve for x
    x = 33,992,282,517.98/208,679.85
  6. Step 6: Final answer
    x = 162,892.02

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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.