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Finding the Fourth Proportional to 86,782, 130,173 and 21,118

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Solution

The fourth proportional to 86,782, 130,173 and 21,118 is: 31,677

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,782 : 130,173 = 21,118 : x
  2. Step 2: Convert to fraction form
    86,782/130,173 = 21,118/x
  3. Step 3: Cross multiply
    86,782x = 130,173 × 21,118
  4. Step 4: Simplify right side
    86,782x = 2,748,993,414
  5. Step 5: Solve for x
    x = 2,748,993,414/86,782
  6. Step 6: Final answer
    x = 31,677

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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.