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Finding the Fourth Proportional to 57,772, 86,658 and 16,219

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Solution

The fourth proportional to 57,772, 86,658 and 16,219 is: 24,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772 : 86,658 = 16,219 : x
  2. Step 2: Convert to fraction form
    57,772/86,658 = 16,219/x
  3. Step 3: Cross multiply
    57,772x = 86,658 × 16,219
  4. Step 4: Simplify right side
    57,772x = 1,405,506,102
  5. Step 5: Solve for x
    x = 1,405,506,102/57,772
  6. Step 6: Final answer
    x = 24,328.50

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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.