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Finding the Fourth Proportional to 78,413.50, 108,207.10 and 44,421.29

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Solution

The fourth proportional to 78,413.50, 108,207.10 and 44,421.29 is: 61,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.50 : 108,207.10 = 44,421.29 : x
  2. Step 2: Convert to fraction form
    78,413.50/108,207.10 = 44,421.29/x
  3. Step 3: Cross multiply
    78,413.50x = 108,207.10 × 44,421.29
  4. Step 4: Simplify right side
    78,413.50x = 4,806,698,747.05
  5. Step 5: Solve for x
    x = 4,806,698,747.05/78,413.50
  6. Step 6: Final answer
    x = 61,299.38

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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.