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Finding the Fourth Proportional to 86,892, 119,910.96 and 47,148

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Solution

The fourth proportional to 86,892, 119,910.96 and 47,148 is: 65,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892 : 119,910.96 = 47,148 : x
  2. Step 2: Convert to fraction form
    86,892/119,910.96 = 47,148/x
  3. Step 3: Cross multiply
    86,892x = 119,910.96 × 47,148
  4. Step 4: Simplify right side
    86,892x = 5,653,561,942.08
  5. Step 5: Solve for x
    x = 5,653,561,942.08/86,892
  6. Step 6: Final answer
    x = 65,064.24

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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.