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Finding the Fourth Proportional to 187,804.32, 259,194.78 and 107,213.64

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Solution

The fourth proportional to 187,804.32, 259,194.78 and 107,213.64 is: 147,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,804.32 : 259,194.78 = 107,213.64 : x
  2. Step 2: Convert to fraction form
    187,804.32/259,194.78 = 107,213.64/x
  3. Step 3: Cross multiply
    187,804.32x = 259,194.78 × 107,213.64
  4. Step 4: Simplify right side
    187,804.32x = 27,789,215,832.80
  5. Step 5: Solve for x
    x = 27,789,215,832.80/187,804.32
  6. Step 6: Final answer
    x = 147,968.99

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1.5x scale

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.