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Finding the Fourth Proportional to 209,364.60, 313,920.47 and 93,938.03

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Solution

The fourth proportional to 209,364.60, 313,920.47 and 93,938.03 is: 140,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,364.60 : 313,920.47 = 93,938.03 : x
  2. Step 2: Convert to fraction form
    209,364.60/313,920.47 = 93,938.03/x
  3. Step 3: Cross multiply
    209,364.60x = 313,920.47 × 93,938.03
  4. Step 4: Simplify right side
    209,364.60x = 29,489,069,193.72
  5. Step 5: Solve for x
    x = 29,489,069,193.72/209,364.60
  6. Step 6: Final answer
    x = 140,850.31

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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.