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Finding the Fourth Proportional to 109,857.15, 164,334.51 and 87,713.82

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Solution

The fourth proportional to 109,857.15, 164,334.51 and 87,713.82 is: 131,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,857.15 : 164,334.51 = 87,713.82 : x
  2. Step 2: Convert to fraction form
    109,857.15/164,334.51 = 87,713.82/x
  3. Step 3: Cross multiply
    109,857.15x = 164,334.51 × 87,713.82
  4. Step 4: Simplify right side
    109,857.15x = 14,414,407,629.93
  5. Step 5: Solve for x
    x = 14,414,407,629.93/109,857.15
  6. Step 6: Final answer
    x = 131,210.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.