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Finding the Fourth Proportional to 208,993.64, 288,413.34 and 113,502.20

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Solution

The fourth proportional to 208,993.64, 288,413.34 and 113,502.20 is: 156,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,993.64 : 288,413.34 = 113,502.20 : x
  2. Step 2: Convert to fraction form
    208,993.64/288,413.34 = 113,502.20/x
  3. Step 3: Cross multiply
    208,993.64x = 288,413.34 × 113,502.20
  4. Step 4: Simplify right side
    208,993.64x = 32,735,548,599.35
  5. Step 5: Solve for x
    x = 32,735,548,599.35/208,993.64
  6. Step 6: Final answer
    x = 156,634.19

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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.