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Finding the Fourth Proportional to 86,958.58, 130,381.71 and 27,774.58

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Solution

The fourth proportional to 86,958.58, 130,381.71 and 27,774.58 is: 41,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,958.58 : 130,381.71 = 27,774.58 : x
  2. Step 2: Convert to fraction form
    86,958.58/130,381.71 = 27,774.58/x
  3. Step 3: Cross multiply
    86,958.58x = 130,381.71 × 27,774.58
  4. Step 4: Simplify right side
    86,958.58x = 3,621,297,234.93
  5. Step 5: Solve for x
    x = 3,621,297,234.93/86,958.58
  6. Step 6: Final answer
    x = 41,643.93

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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.