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Finding the Fourth Proportional to 64,709.80, 89,295.78 and 36,413.80

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Solution

The fourth proportional to 64,709.80, 89,295.78 and 36,413.80 is: 50,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,709.80 : 89,295.78 = 36,413.80 : x
  2. Step 2: Convert to fraction form
    64,709.80/89,295.78 = 36,413.80/x
  3. Step 3: Cross multiply
    64,709.80x = 89,295.78 × 36,413.80
  4. Step 4: Simplify right side
    64,709.80x = 3,251,598,673.76
  5. Step 5: Solve for x
    x = 3,251,598,673.76/64,709.80
  6. Step 6: Final answer
    x = 50,248.94

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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.