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Finding the Fourth Proportional to 209,571.66, 289,197.12 and 114,072.66

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Solution

The fourth proportional to 209,571.66, 289,197.12 and 114,072.66 is: 157,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,571.66 : 289,197.12 = 114,072.66 : x
  2. Step 2: Convert to fraction form
    209,571.66/289,197.12 = 114,072.66/x
  3. Step 3: Cross multiply
    209,571.66x = 289,197.12 × 114,072.66
  4. Step 4: Simplify right side
    209,571.66x = 32,989,484,742.74
  5. Step 5: Solve for x
    x = 32,989,484,742.74/209,571.66
  6. Step 6: Final answer
    x = 157,413.86

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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.