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Finding the Fourth Proportional to 187,892, 259,427.04 and 120,940.64

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Solution

The fourth proportional to 187,892, 259,427.04 and 120,940.64 is: 166,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,892 : 259,427.04 = 120,940.64 : x
  2. Step 2: Convert to fraction form
    187,892/259,427.04 = 120,940.64/x
  3. Step 3: Cross multiply
    187,892x = 259,427.04 × 120,940.64
  4. Step 4: Simplify right side
    187,892x = 31,375,272,250.91
  5. Step 5: Solve for x
    x = 31,375,272,250.91/187,892
  6. Step 6: Final answer
    x = 166,985.67

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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.