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Finding the Fourth Proportional to 187,740, 259,081.36 and 102,857.44

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Solution

The fourth proportional to 187,740, 259,081.36 and 102,857.44 is: 141,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,740 : 259,081.36 = 102,857.44 : x
  2. Step 2: Convert to fraction form
    187,740/259,081.36 = 102,857.44/x
  3. Step 3: Cross multiply
    187,740x = 259,081.36 × 102,857.44
  4. Step 4: Simplify right side
    187,740x = 26,648,445,441.32
  5. Step 5: Solve for x
    x = 26,648,445,441.32/187,740
  6. Step 6: Final answer
    x = 141,943.35

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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.