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Finding the Fourth Proportional to 86,982, 130,473 and 21,318

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Solution

The fourth proportional to 86,982, 130,473 and 21,318 is: 31,977

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,982 : 130,473 = 21,318 : x
  2. Step 2: Convert to fraction form
    86,982/130,473 = 21,318/x
  3. Step 3: Cross multiply
    86,982x = 130,473 × 21,318
  4. Step 4: Simplify right side
    86,982x = 2,781,423,414
  5. Step 5: Solve for x
    x = 2,781,423,414/86,982
  6. Step 6: Final answer
    x = 31,977

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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.