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Finding the Fourth Proportional to 208,068,716.80, 312,008,596.80 and 78,633,308.80

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Solution

The fourth proportional to 208,068,716.80, 312,008,596.80 and 78,633,308.80 is: 117,914,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,068,716.80 : 312,008,596.80 = 78,633,308.80 : x
  2. Step 2: Convert to fraction form
    208,068,716.80/312,008,596.80 = 78,633,308.80/x
  3. Step 3: Cross multiply
    208,068,716.80x = 312,008,596.80 × 78,633,308.80
  4. Step 4: Simplify right side
    208,068,716.80x = 24,534,268,340,429,092
  5. Step 5: Solve for x
    x = 24,534,268,340,429,092/208,068,716.80
  6. Step 6: Final answer
    x = 117,914,257.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.