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Finding the Fourth Proportional to 187,855, 259,239.96 and 102,972.64

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Solution

The fourth proportional to 187,855, 259,239.96 and 102,972.64 is: 142,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,855 : 259,239.96 = 102,972.64 : x
  2. Step 2: Convert to fraction form
    187,855/259,239.96 = 102,972.64/x
  3. Step 3: Cross multiply
    187,855x = 259,239.96 × 102,972.64
  4. Step 4: Simplify right side
    187,855x = 26,694,623,074.69
  5. Step 5: Solve for x
    x = 26,694,623,074.69/187,855
  6. Step 6: Final answer
    x = 142,102.28

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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.