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Finding the Fourth Proportional to 69,038.98, 103,558.74 and 21,008.06

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Solution

The fourth proportional to 69,038.98, 103,558.74 and 21,008.06 is: 31,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,038.98 : 103,558.74 = 21,008.06 : x
  2. Step 2: Convert to fraction form
    69,038.98/103,558.74 = 21,008.06/x
  3. Step 3: Cross multiply
    69,038.98x = 103,558.74 × 21,008.06
  4. Step 4: Simplify right side
    69,038.98x = 2,175,568,223.44
  5. Step 5: Solve for x
    x = 2,175,568,223.44/69,038.98
  6. Step 6: Final answer
    x = 31,512.17

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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.