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Finding the Fourth Proportional to 57,855.16, 86,782.74 and 30,207.16

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Solution

The fourth proportional to 57,855.16, 86,782.74 and 30,207.16 is: 45,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,855.16 : 86,782.74 = 30,207.16 : x
  2. Step 2: Convert to fraction form
    57,855.16/86,782.74 = 30,207.16/x
  3. Step 3: Cross multiply
    57,855.16x = 86,782.74 × 30,207.16
  4. Step 4: Simplify right side
    57,855.16x = 2,621,460,112.42
  5. Step 5: Solve for x
    x = 2,621,460,112.42/57,855.16
  6. Step 6: Final answer
    x = 45,310.74

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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.