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Finding the Fourth Proportional to 208,590.86, 287,853.63 and 117,964.62

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Solution

The fourth proportional to 208,590.86, 287,853.63 and 117,964.62 is: 162,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.86 : 287,853.63 = 117,964.62 : x
  2. Step 2: Convert to fraction form
    208,590.86/287,853.63 = 117,964.62/x
  3. Step 3: Cross multiply
    208,590.86x = 287,853.63 × 117,964.62
  4. Step 4: Simplify right side
    208,590.86x = 33,956,544,078.57
  5. Step 5: Solve for x
    x = 33,956,544,078.57/208,590.86
  6. Step 6: Final answer
    x = 162,790.19

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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.