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Finding the Fourth Proportional to 64,932.44, 97,413.24 and 20,555.78

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Solution

The fourth proportional to 64,932.44, 97,413.24 and 20,555.78 is: 30,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,932.44 : 97,413.24 = 20,555.78 : x
  2. Step 2: Convert to fraction form
    64,932.44/97,413.24 = 20,555.78/x
  3. Step 3: Cross multiply
    64,932.44x = 97,413.24 × 20,555.78
  4. Step 4: Simplify right side
    64,932.44x = 2,002,405,130.53
  5. Step 5: Solve for x
    x = 2,002,405,130.53/64,932.44
  6. Step 6: Final answer
    x = 30,838.29

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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.