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Finding the Fourth Proportional to 69,030, 103,545.36 and 19,782

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Solution

The fourth proportional to 69,030, 103,545.36 and 19,782 is: 29,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,030 : 103,545.36 = 19,782 : x
  2. Step 2: Convert to fraction form
    69,030/103,545.36 = 19,782/x
  3. Step 3: Cross multiply
    69,030x = 103,545.36 × 19,782
  4. Step 4: Simplify right side
    69,030x = 2,048,334,311.52
  5. Step 5: Solve for x
    x = 2,048,334,311.52/69,030
  6. Step 6: Final answer
    x = 29,673.10

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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.