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Finding the Fourth Proportional to 86,413.50, 129,620.25 and 20,749.50

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Solution

The fourth proportional to 86,413.50, 129,620.25 and 20,749.50 is: 31,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413.50 : 129,620.25 = 20,749.50 : x
  2. Step 2: Convert to fraction form
    86,413.50/129,620.25 = 20,749.50/x
  3. Step 3: Cross multiply
    86,413.50x = 129,620.25 × 20,749.50
  4. Step 4: Simplify right side
    86,413.50x = 2,689,555,377.38
  5. Step 5: Solve for x
    x = 2,689,555,377.38/86,413.50
  6. Step 6: Final answer
    x = 31,124.25

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1.5x scale

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.