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Finding the Fourth Proportional to 68,413.68, 102,631.32 and 28,971

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Solution

The fourth proportional to 68,413.68, 102,631.32 and 28,971 is: 43,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,413.68 : 102,631.32 = 28,971 : x
  2. Step 2: Convert to fraction form
    68,413.68/102,631.32 = 28,971/x
  3. Step 3: Cross multiply
    68,413.68x = 102,631.32 × 28,971
  4. Step 4: Simplify right side
    68,413.68x = 2,973,331,971.72
  5. Step 5: Solve for x
    x = 2,973,331,971.72/68,413.68
  6. Step 6: Final answer
    x = 43,461.07

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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.