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Finding the Fourth Proportional to 53,178.88, 79,765.44 and 16,240

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Solution

The fourth proportional to 53,178.88, 79,765.44 and 16,240 is: 24,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,178.88 : 79,765.44 = 16,240 : x
  2. Step 2: Convert to fraction form
    53,178.88/79,765.44 = 16,240/x
  3. Step 3: Cross multiply
    53,178.88x = 79,765.44 × 16,240
  4. Step 4: Simplify right side
    53,178.88x = 1,295,390,745.60
  5. Step 5: Solve for x
    x = 1,295,390,745.60/53,178.88
  6. Step 6: Final answer
    x = 24,359.12

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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.