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Finding the Fourth Proportional to 57,450.30, 86,213.72 and 27,870.31

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Solution

The fourth proportional to 57,450.30, 86,213.72 and 27,870.31 is: 41,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,450.30 : 86,213.72 = 27,870.31 : x
  2. Step 2: Convert to fraction form
    57,450.30/86,213.72 = 27,870.31/x
  3. Step 3: Cross multiply
    57,450.30x = 86,213.72 × 27,870.31
  4. Step 4: Simplify right side
    57,450.30x = 2,402,803,102.65
  5. Step 5: Solve for x
    x = 2,402,803,102.65/57,450.30
  6. Step 6: Final answer
    x = 41,824.03

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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.