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Finding the Fourth Proportional to 208,286.78, 287,433.51 and 117,642.92

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Solution

The fourth proportional to 208,286.78, 287,433.51 and 117,642.92 is: 162,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286.78 : 287,433.51 = 117,642.92 : x
  2. Step 2: Convert to fraction form
    208,286.78/287,433.51 = 117,642.92/x
  3. Step 3: Cross multiply
    208,286.78x = 287,433.51 × 117,642.92
  4. Step 4: Simplify right side
    208,286.78x = 33,814,517,422.25
  5. Step 5: Solve for x
    x = 33,814,517,422.25/208,286.78
  6. Step 6: Final answer
    x = 162,345.96

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1.5x scale

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.