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Finding the Fourth Proportional to 50,449.69, 75,678.89 and 13,009.45

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Solution

The fourth proportional to 50,449.69, 75,678.89 and 13,009.45 is: 19,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,449.69 : 75,678.89 = 13,009.45 : x
  2. Step 2: Convert to fraction form
    50,449.69/75,678.89 = 13,009.45/x
  3. Step 3: Cross multiply
    50,449.69x = 75,678.89 × 13,009.45
  4. Step 4: Simplify right side
    50,449.69x = 984,540,735.51
  5. Step 5: Solve for x
    x = 984,540,735.51/50,449.69
  6. Step 6: Final answer
    x = 19,515.30

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1.5x scale

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.