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Finding the Fourth Proportional to 39,758, 59,636.84 and 30,999.36

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Solution

The fourth proportional to 39,758, 59,636.84 and 30,999.36 is: 46,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758 : 59,636.84 = 30,999.36 : x
  2. Step 2: Convert to fraction form
    39,758/59,636.84 = 30,999.36/x
  3. Step 3: Cross multiply
    39,758x = 59,636.84 × 30,999.36
  4. Step 4: Simplify right side
    39,758x = 1,848,703,872.42
  5. Step 5: Solve for x
    x = 1,848,703,872.42/39,758
  6. Step 6: Final answer
    x = 46,498.92

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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.