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Finding the Fourth Proportional to 268,413.98, 402,590.54 and 68,735.82

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Solution

The fourth proportional to 268,413.98, 402,590.54 and 68,735.82 is: 103,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,413.98 : 402,590.54 = 68,735.82 : x
  2. Step 2: Convert to fraction form
    268,413.98/402,590.54 = 68,735.82/x
  3. Step 3: Cross multiply
    268,413.98x = 402,590.54 × 68,735.82
  4. Step 4: Simplify right side
    268,413.98x = 27,672,389,553.27
  5. Step 5: Solve for x
    x = 27,672,389,553.27/268,413.98
  6. Step 6: Final answer
    x = 103,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.