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Finding the Fourth Proportional to 70,115.82, 105,173.72 and 18,825.20

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Solution

The fourth proportional to 70,115.82, 105,173.72 and 18,825.20 is: 28,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.82 : 105,173.72 = 18,825.20 : x
  2. Step 2: Convert to fraction form
    70,115.82/105,173.72 = 18,825.20/x
  3. Step 3: Cross multiply
    70,115.82x = 105,173.72 × 18,825.20
  4. Step 4: Simplify right side
    70,115.82x = 1,979,916,313.74
  5. Step 5: Solve for x
    x = 1,979,916,313.74/70,115.82
  6. Step 6: Final answer
    x = 28,237.80

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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.