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Finding the Fourth Proportional to 208,086.84, 287,109.90 and 126,413.46

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Solution

The fourth proportional to 208,086.84, 287,109.90 and 126,413.46 is: 174,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.84 : 287,109.90 = 126,413.46 : x
  2. Step 2: Convert to fraction form
    208,086.84/287,109.90 = 126,413.46/x
  3. Step 3: Cross multiply
    208,086.84x = 287,109.90 × 126,413.46
  4. Step 4: Simplify right side
    208,086.84x = 36,294,555,859.25
  5. Step 5: Solve for x
    x = 36,294,555,859.25/208,086.84
  6. Step 6: Final answer
    x = 174,420.24

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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.