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Finding the Fourth Proportional to 36,506, 50,378.30 and 19,739

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Solution

The fourth proportional to 36,506, 50,378.30 and 19,739 is: 27,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 50,378.30 = 19,739 : x
  2. Step 2: Convert to fraction form
    36,506/50,378.30 = 19,739/x
  3. Step 3: Cross multiply
    36,506x = 50,378.30 × 19,739
  4. Step 4: Simplify right side
    36,506x = 994,417,263.70
  5. Step 5: Solve for x
    x = 994,417,263.70/36,506
  6. Step 6: Final answer
    x = 27,239.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.