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Finding the Fourth Proportional to 281,703.24, 422,570.25 and 71,343

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Solution

The fourth proportional to 281,703.24, 422,570.25 and 71,343 is: 107,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,703.24 : 422,570.25 = 71,343 : x
  2. Step 2: Convert to fraction form
    281,703.24/422,570.25 = 71,343/x
  3. Step 3: Cross multiply
    281,703.24x = 422,570.25 × 71,343
  4. Step 4: Simplify right side
    281,703.24x = 30,147,429,345.75
  5. Step 5: Solve for x
    x = 30,147,429,345.75/281,703.24
  6. Step 6: Final answer
    x = 107,018.40

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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.