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Finding the Fourth Proportional to 86,780, 130,170 and 21,116

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Solution

The fourth proportional to 86,780, 130,170 and 21,116 is: 31,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,780 : 130,170 = 21,116 : x
  2. Step 2: Convert to fraction form
    86,780/130,170 = 21,116/x
  3. Step 3: Cross multiply
    86,780x = 130,170 × 21,116
  4. Step 4: Simplify right side
    86,780x = 2,748,669,720
  5. Step 5: Solve for x
    x = 2,748,669,720/86,780
  6. Step 6: Final answer
    x = 31,674

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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.