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Finding the Fourth Proportional to 69,231.97, 103,865.49 and 19,312.06

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Solution

The fourth proportional to 69,231.97, 103,865.49 and 19,312.06 is: 28,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,231.97 : 103,865.49 = 19,312.06 : x
  2. Step 2: Convert to fraction form
    69,231.97/103,865.49 = 19,312.06/x
  3. Step 3: Cross multiply
    69,231.97x = 103,865.49 × 19,312.06
  4. Step 4: Simplify right side
    69,231.97x = 2,005,856,574.81
  5. Step 5: Solve for x
    x = 2,005,856,574.81/69,231.97
  6. Step 6: Final answer
    x = 28,972.98

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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.