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Finding the Fourth Proportional to 208,057.69, 287,413.55 and 165,561.85

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Solution

The fourth proportional to 208,057.69, 287,413.55 and 165,561.85 is: 228,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,057.69 : 287,413.55 = 165,561.85 : x
  2. Step 2: Convert to fraction form
    208,057.69/287,413.55 = 165,561.85/x
  3. Step 3: Cross multiply
    208,057.69x = 287,413.55 × 165,561.85
  4. Step 4: Simplify right side
    208,057.69x = 47,584,718,225.26
  5. Step 5: Solve for x
    x = 47,584,718,225.26/208,057.69
  6. Step 6: Final answer
    x = 228,709.25

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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.