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Finding the Fourth Proportional to 188,038.41, 259,499.75 and 103,157.97

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Solution

The fourth proportional to 188,038.41, 259,499.75 and 103,157.97 is: 142,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,038.41 : 259,499.75 = 103,157.97 : x
  2. Step 2: Convert to fraction form
    188,038.41/259,499.75 = 103,157.97/x
  3. Step 3: Cross multiply
    188,038.41x = 259,499.75 × 103,157.97
  4. Step 4: Simplify right side
    188,038.41x = 26,769,466,909.72
  5. Step 5: Solve for x
    x = 26,769,466,909.72/188,038.41
  6. Step 6: Final answer
    x = 142,361.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.