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Finding the Fourth Proportional to 86,479, 129,718.50 and 20,815

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Solution

The fourth proportional to 86,479, 129,718.50 and 20,815 is: 31,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,479 : 129,718.50 = 20,815 : x
  2. Step 2: Convert to fraction form
    86,479/129,718.50 = 20,815/x
  3. Step 3: Cross multiply
    86,479x = 129,718.50 × 20,815
  4. Step 4: Simplify right side
    86,479x = 2,700,090,577.50
  5. Step 5: Solve for x
    x = 2,700,090,577.50/86,479
  6. Step 6: Final answer
    x = 31,222.50

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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.