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Finding the Fourth Proportional to 208,930.59, 313,418.16 and 66,726.18

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Solution

The fourth proportional to 208,930.59, 313,418.16 and 66,726.18 is: 100,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,930.59 : 313,418.16 = 66,726.18 : x
  2. Step 2: Convert to fraction form
    208,930.59/313,418.16 = 66,726.18/x
  3. Step 3: Cross multiply
    208,930.59x = 313,418.16 × 66,726.18
  4. Step 4: Simplify right side
    208,930.59x = 20,913,196,559.43
  5. Step 5: Solve for x
    x = 20,913,196,559.43/208,930.59
  6. Step 6: Final answer
    x = 100,096.38

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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.