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Finding the Fourth Proportional to 72,769.57, 100,413.88 and 40,937.78

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Solution

The fourth proportional to 72,769.57, 100,413.88 and 40,937.78 is: 56,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,769.57 : 100,413.88 = 40,937.78 : x
  2. Step 2: Convert to fraction form
    72,769.57/100,413.88 = 40,937.78/x
  3. Step 3: Cross multiply
    72,769.57x = 100,413.88 × 40,937.78
  4. Step 4: Simplify right side
    72,769.57x = 4,110,721,477.08
  5. Step 5: Solve for x
    x = 4,110,721,477.08/72,769.57
  6. Step 6: Final answer
    x = 56,489.57

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1.5x scale

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.