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Finding the Fourth Proportional to 188,381.30, 259,962.01 and 102,338.03

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Solution

The fourth proportional to 188,381.30, 259,962.01 and 102,338.03 is: 141,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,381.30 : 259,962.01 = 102,338.03 : x
  2. Step 2: Convert to fraction form
    188,381.30/259,962.01 = 102,338.03/x
  3. Step 3: Cross multiply
    188,381.30x = 259,962.01 × 102,338.03
  4. Step 4: Simplify right side
    188,381.30x = 26,604,000,372.30
  5. Step 5: Solve for x
    x = 26,604,000,372.30/188,381.30
  6. Step 6: Final answer
    x = 141,224.21

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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.