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Finding the Fourth Proportional to 59,977, 89,965.50 and 18,424

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Solution

The fourth proportional to 59,977, 89,965.50 and 18,424 is: 27,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,977 : 89,965.50 = 18,424 : x
  2. Step 2: Convert to fraction form
    59,977/89,965.50 = 18,424/x
  3. Step 3: Cross multiply
    59,977x = 89,965.50 × 18,424
  4. Step 4: Simplify right side
    59,977x = 1,657,524,372
  5. Step 5: Solve for x
    x = 1,657,524,372/59,977
  6. Step 6: Final answer
    x = 27,636

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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.