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Finding the Fourth Proportional to 208,590.35, 287,852.95 and 117,964.11

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Solution

The fourth proportional to 208,590.35, 287,852.95 and 117,964.11 is: 162,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.35 : 287,852.95 = 117,964.11 : x
  2. Step 2: Convert to fraction form
    208,590.35/287,852.95 = 117,964.11/x
  3. Step 3: Cross multiply
    208,590.35x = 287,852.95 × 117,964.11
  4. Step 4: Simplify right side
    208,590.35x = 33,956,317,057.62
  5. Step 5: Solve for x
    x = 33,956,317,057.62/208,590.35
  6. Step 6: Final answer
    x = 162,789.49

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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.