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Finding the Fourth Proportional to 71,767.84, 107,643.40 and 19,181.44

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Solution

The fourth proportional to 71,767.84, 107,643.40 and 19,181.44 is: 28,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,767.84 : 107,643.40 = 19,181.44 : x
  2. Step 2: Convert to fraction form
    71,767.84/107,643.40 = 19,181.44/x
  3. Step 3: Cross multiply
    71,767.84x = 107,643.40 × 19,181.44
  4. Step 4: Simplify right side
    71,767.84x = 2,064,755,418.50
  5. Step 5: Solve for x
    x = 2,064,755,418.50/71,767.84
  6. Step 6: Final answer
    x = 28,769.93

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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.