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Finding the Fourth Proportional to 86,993.82, 120,045.78 and 51,176.91

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Solution

The fourth proportional to 86,993.82, 120,045.78 and 51,176.91 is: 70,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,993.82 : 120,045.78 = 51,176.91 : x
  2. Step 2: Convert to fraction form
    86,993.82/120,045.78 = 51,176.91/x
  3. Step 3: Cross multiply
    86,993.82x = 120,045.78 × 51,176.91
  4. Step 4: Simplify right side
    86,993.82x = 6,143,572,078.94
  5. Step 5: Solve for x
    x = 6,143,572,078.94/86,993.82
  6. Step 6: Final answer
    x = 70,620.79

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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.