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Finding the Fourth Proportional to 208,594.80, 312,950.40 and 68,451.84

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Solution

The fourth proportional to 208,594.80, 312,950.40 and 68,451.84 is: 102,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.80 : 312,950.40 = 68,451.84 : x
  2. Step 2: Convert to fraction form
    208,594.80/312,950.40 = 68,451.84/x
  3. Step 3: Cross multiply
    208,594.80x = 312,950.40 × 68,451.84
  4. Step 4: Simplify right side
    208,594.80x = 21,422,030,708.74
  5. Step 5: Solve for x
    x = 21,422,030,708.74/208,594.80
  6. Step 6: Final answer
    x = 102,696.86

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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.