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Finding the Fourth Proportional to 53,493.80, 80,219.10 and 18,415.40

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Solution

The fourth proportional to 53,493.80, 80,219.10 and 18,415.40 is: 27,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493.80 : 80,219.10 = 18,415.40 : x
  2. Step 2: Convert to fraction form
    53,493.80/80,219.10 = 18,415.40/x
  3. Step 3: Cross multiply
    53,493.80x = 80,219.10 × 18,415.40
  4. Step 4: Simplify right side
    53,493.80x = 1,477,266,814.14
  5. Step 5: Solve for x
    x = 1,477,266,814.14/53,493.80
  6. Step 6: Final answer
    x = 27,615.66

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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.