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Finding the Fourth Proportional to 86,680, 130,020 and 21,016

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Solution

The fourth proportional to 86,680, 130,020 and 21,016 is: 31,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,680 : 130,020 = 21,016 : x
  2. Step 2: Convert to fraction form
    86,680/130,020 = 21,016/x
  3. Step 3: Cross multiply
    86,680x = 130,020 × 21,016
  4. Step 4: Simplify right side
    86,680x = 2,732,500,320
  5. Step 5: Solve for x
    x = 2,732,500,320/86,680
  6. Step 6: Final answer
    x = 31,524

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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.