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Finding the Fourth Proportional to 209,099.88, 288,494.28 and 118,441.44

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Solution

The fourth proportional to 209,099.88, 288,494.28 and 118,441.44 is: 163,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,099.88 : 288,494.28 = 118,441.44 : x
  2. Step 2: Convert to fraction form
    209,099.88/288,494.28 = 118,441.44/x
  3. Step 3: Cross multiply
    209,099.88x = 288,494.28 × 118,441.44
  4. Step 4: Simplify right side
    209,099.88x = 34,169,677,954.96
  5. Step 5: Solve for x
    x = 34,169,677,954.96/209,099.88
  6. Step 6: Final answer
    x = 163,413.19

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1.5x scale

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.