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Finding the Fourth Proportional to 86,284.34, 129,418 and 27,118.43

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Solution

The fourth proportional to 86,284.34, 129,418 and 27,118.43 is: 40,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284.34 : 129,418 = 27,118.43 : x
  2. Step 2: Convert to fraction form
    86,284.34/129,418 = 27,118.43/x
  3. Step 3: Cross multiply
    86,284.34x = 129,418 × 27,118.43
  4. Step 4: Simplify right side
    86,284.34x = 3,509,612,973.74
  5. Step 5: Solve for x
    x = 3,509,612,973.74/86,284.34
  6. Step 6: Final answer
    x = 40,674.97

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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.