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Finding the Fourth Proportional to 39,830.56, 59,782.76 and 20,123

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Solution

The fourth proportional to 39,830.56, 59,782.76 and 20,123 is: 30,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.56 : 59,782.76 = 20,123 : x
  2. Step 2: Convert to fraction form
    39,830.56/59,782.76 = 20,123/x
  3. Step 3: Cross multiply
    39,830.56x = 59,782.76 × 20,123
  4. Step 4: Simplify right side
    39,830.56x = 1,203,008,479.48
  5. Step 5: Solve for x
    x = 1,203,008,479.48/39,830.56
  6. Step 6: Final answer
    x = 30,203.15

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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.