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Finding the Fourth Proportional to 39,709.42, 59,449.02 and 30,917.68

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Solution

The fourth proportional to 39,709.42, 59,449.02 and 30,917.68 is: 46,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709.42 : 59,449.02 = 30,917.68 : x
  2. Step 2: Convert to fraction form
    39,709.42/59,449.02 = 30,917.68/x
  3. Step 3: Cross multiply
    39,709.42x = 59,449.02 × 30,917.68
  4. Step 4: Simplify right side
    39,709.42x = 1,838,025,776.67
  5. Step 5: Solve for x
    x = 1,838,025,776.67/39,709.42
  6. Step 6: Final answer
    x = 46,286.90

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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.