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Finding the Fourth Proportional to 208,506.81, 287,743.82 and 117,857.35

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Solution

The fourth proportional to 208,506.81, 287,743.82 and 117,857.35 is: 162,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506.81 : 287,743.82 = 117,857.35 : x
  2. Step 2: Convert to fraction form
    208,506.81/287,743.82 = 117,857.35/x
  3. Step 3: Cross multiply
    208,506.81x = 287,743.82 × 117,857.35
  4. Step 4: Simplify right side
    208,506.81x = 33,912,724,104.08
  5. Step 5: Solve for x
    x = 33,912,724,104.08/208,506.81
  6. Step 6: Final answer
    x = 162,645.64

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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.