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Finding the Fourth Proportional to 69,038.93, 103,558.64 and 21,008

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Solution

The fourth proportional to 69,038.93, 103,558.64 and 21,008 is: 31,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,038.93 : 103,558.64 = 21,008 : x
  2. Step 2: Convert to fraction form
    69,038.93/103,558.64 = 21,008/x
  3. Step 3: Cross multiply
    69,038.93x = 103,558.64 × 21,008
  4. Step 4: Simplify right side
    69,038.93x = 2,175,559,909.12
  5. Step 5: Solve for x
    x = 2,175,559,909.12/69,038.93
  6. Step 6: Final answer
    x = 31,512.07

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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.