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Finding the Fourth Proportional to 187,694.25, 259,018.20 and 102,811.65

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Solution

The fourth proportional to 187,694.25, 259,018.20 and 102,811.65 is: 141,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,694.25 : 259,018.20 = 102,811.65 : x
  2. Step 2: Convert to fraction form
    187,694.25/259,018.20 = 102,811.65/x
  3. Step 3: Cross multiply
    187,694.25x = 259,018.20 × 102,811.65
  4. Step 4: Simplify right side
    187,694.25x = 26,630,088,522.03
  5. Step 5: Solve for x
    x = 26,630,088,522.03/187,694.25
  6. Step 6: Final answer
    x = 141,880.15

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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.