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Finding the Fourth Proportional to 208,372.29, 287,536.68 and 117,736.13

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Solution

The fourth proportional to 208,372.29, 287,536.68 and 117,736.13 is: 162,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,372.29 : 287,536.68 = 117,736.13 : x
  2. Step 2: Convert to fraction form
    208,372.29/287,536.68 = 117,736.13/x
  3. Step 3: Cross multiply
    208,372.29x = 287,536.68 × 117,736.13
  4. Step 4: Simplify right side
    208,372.29x = 33,853,454,498.57
  5. Step 5: Solve for x
    x = 33,853,454,498.57/208,372.29
  6. Step 6: Final answer
    x = 162,466.20

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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.