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Finding the Fourth Proportional to 71,851.79, 107,769.49 and 19,257.18

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Solution

The fourth proportional to 71,851.79, 107,769.49 and 19,257.18 is: 28,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,851.79 : 107,769.49 = 19,257.18 : x
  2. Step 2: Convert to fraction form
    71,851.79/107,769.49 = 19,257.18/x
  3. Step 3: Cross multiply
    71,851.79x = 107,769.49 × 19,257.18
  4. Step 4: Simplify right side
    71,851.79x = 2,075,336,015.16
  5. Step 5: Solve for x
    x = 2,075,336,015.16/71,851.79
  6. Step 6: Final answer
    x = 28,883.57

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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.