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Finding the Fourth Proportional to 208,590.11, 287,852.60 and 117,963.86

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Solution

The fourth proportional to 208,590.11, 287,852.60 and 117,963.86 is: 162,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.11 : 287,852.60 = 117,963.86 : x
  2. Step 2: Convert to fraction form
    208,590.11/287,852.60 = 117,963.86/x
  3. Step 3: Cross multiply
    208,590.11x = 287,852.60 × 117,963.86
  4. Step 4: Simplify right side
    208,590.11x = 33,956,201,777.95
  5. Step 5: Solve for x
    x = 33,956,201,777.95/208,590.11
  6. Step 6: Final answer
    x = 162,789.13

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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.