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Finding the Fourth Proportional to 208,301.60, 287,456.38 and 117,657.74

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Solution

The fourth proportional to 208,301.60, 287,456.38 and 117,657.74 is: 162,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.60 : 287,456.38 = 117,657.74 : x
  2. Step 2: Convert to fraction form
    208,301.60/287,456.38 = 117,657.74/x
  3. Step 3: Cross multiply
    208,301.60x = 287,456.38 × 117,657.74
  4. Step 4: Simplify right side
    208,301.60x = 33,821,468,019.38
  5. Step 5: Solve for x
    x = 33,821,468,019.38/208,301.60
  6. Step 6: Final answer
    x = 162,367.78

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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.