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Finding the Fourth Proportional to 86,114, 129,222.84 and 36,866

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Solution

The fourth proportional to 86,114, 129,222.84 and 36,866 is: 55,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114 : 129,222.84 = 36,866 : x
  2. Step 2: Convert to fraction form
    86,114/129,222.84 = 36,866/x
  3. Step 3: Cross multiply
    86,114x = 129,222.84 × 36,866
  4. Step 4: Simplify right side
    86,114x = 4,763,929,219.44
  5. Step 5: Solve for x
    x = 4,763,929,219.44/86,114
  6. Step 6: Final answer
    x = 55,321.19

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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.