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Finding the Fourth Proportional to 69,783.50, 104,689.06 and 19,865.57

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Solution

The fourth proportional to 69,783.50, 104,689.06 and 19,865.57 is: 29,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,783.50 : 104,689.06 = 19,865.57 : x
  2. Step 2: Convert to fraction form
    69,783.50/104,689.06 = 19,865.57/x
  3. Step 3: Cross multiply
    69,783.50x = 104,689.06 × 19,865.57
  4. Step 4: Simplify right side
    69,783.50x = 2,079,707,276.55
  5. Step 5: Solve for x
    x = 2,079,707,276.55/69,783.50
  6. Step 6: Final answer
    x = 29,802.28

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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.