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Finding the Fourth Proportional to 57,899.16, 86,833.11 and 20,454.30

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Solution

The fourth proportional to 57,899.16, 86,833.11 and 20,454.30 is: 30,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,899.16 : 86,833.11 = 20,454.30 : x
  2. Step 2: Convert to fraction form
    57,899.16/86,833.11 = 20,454.30/x
  3. Step 3: Cross multiply
    57,899.16x = 86,833.11 × 20,454.30
  4. Step 4: Simplify right side
    57,899.16x = 1,776,110,213.65
  5. Step 5: Solve for x
    x = 1,776,110,213.65/57,899.16
  6. Step 6: Final answer
    x = 30,675.93

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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.