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Finding the Fourth Proportional to 208,186, 287,296.68 and 118,762

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Solution

The fourth proportional to 208,186, 287,296.68 and 118,762 is: 163,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,186 : 287,296.68 = 118,762 : x
  2. Step 2: Convert to fraction form
    208,186/287,296.68 = 118,762/x
  3. Step 3: Cross multiply
    208,186x = 287,296.68 × 118,762
  4. Step 4: Simplify right side
    208,186x = 34,119,928,310.16
  5. Step 5: Solve for x
    x = 34,119,928,310.16/208,186
  6. Step 6: Final answer
    x = 163,891.56

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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.