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Finding the Fourth Proportional to 57,629, 86,443.50 and 18,717

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Solution

The fourth proportional to 57,629, 86,443.50 and 18,717 is: 28,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,629 : 86,443.50 = 18,717 : x
  2. Step 2: Convert to fraction form
    57,629/86,443.50 = 18,717/x
  3. Step 3: Cross multiply
    57,629x = 86,443.50 × 18,717
  4. Step 4: Simplify right side
    57,629x = 1,617,962,989.50
  5. Step 5: Solve for x
    x = 1,617,962,989.50/57,629
  6. Step 6: Final answer
    x = 28,075.50

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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.