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Finding the Fourth Proportional to 86,490, 129,735.12 and 20,826

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Solution

The fourth proportional to 86,490, 129,735.12 and 20,826 is: 31,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 129,735.12 = 20,826 : x
  2. Step 2: Convert to fraction form
    86,490/129,735.12 = 20,826/x
  3. Step 3: Cross multiply
    86,490x = 129,735.12 × 20,826
  4. Step 4: Simplify right side
    86,490x = 2,701,863,609.12
  5. Step 5: Solve for x
    x = 2,701,863,609.12/86,490
  6. Step 6: Final answer
    x = 31,239.03

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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.