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Finding the Fourth Proportional to 86,814, 130,221 and 21,150

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Solution

The fourth proportional to 86,814, 130,221 and 21,150 is: 31,725

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,814 : 130,221 = 21,150 : x
  2. Step 2: Convert to fraction form
    86,814/130,221 = 21,150/x
  3. Step 3: Cross multiply
    86,814x = 130,221 × 21,150
  4. Step 4: Simplify right side
    86,814x = 2,754,174,150
  5. Step 5: Solve for x
    x = 2,754,174,150/86,814
  6. Step 6: Final answer
    x = 31,725

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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.