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Finding the Fourth Proportional to 51,138, 76,707 and 14,202

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Solution

The fourth proportional to 51,138, 76,707 and 14,202 is: 21,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138 : 76,707 = 14,202 : x
  2. Step 2: Convert to fraction form
    51,138/76,707 = 14,202/x
  3. Step 3: Cross multiply
    51,138x = 76,707 × 14,202
  4. Step 4: Simplify right side
    51,138x = 1,089,392,814
  5. Step 5: Solve for x
    x = 1,089,392,814/51,138
  6. Step 6: Final answer
    x = 21,303

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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.