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Finding the Fourth Proportional to 57,709.80, 86,516.10 and 30,007.80

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Solution

The fourth proportional to 57,709.80, 86,516.10 and 30,007.80 is: 44,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.80 : 86,516.10 = 30,007.80 : x
  2. Step 2: Convert to fraction form
    57,709.80/86,516.10 = 30,007.80/x
  3. Step 3: Cross multiply
    57,709.80x = 86,516.10 × 30,007.80
  4. Step 4: Simplify right side
    57,709.80x = 2,596,157,825.58
  5. Step 5: Solve for x
    x = 2,596,157,825.58/57,709.80
  6. Step 6: Final answer
    x = 44,986.43

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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.