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Finding the Fourth Proportional to 68,271.50, 102,424.53 and 19,023.50

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Solution

The fourth proportional to 68,271.50, 102,424.53 and 19,023.50 is: 28,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,271.50 : 102,424.53 = 19,023.50 : x
  2. Step 2: Convert to fraction form
    68,271.50/102,424.53 = 19,023.50/x
  3. Step 3: Cross multiply
    68,271.50x = 102,424.53 × 19,023.50
  4. Step 4: Simplify right side
    68,271.50x = 1,948,473,046.46
  5. Step 5: Solve for x
    x = 1,948,473,046.46/68,271.50
  6. Step 6: Final answer
    x = 28,540.06

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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.