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Finding the Fourth Proportional to 69,432, 104,165.76 and 20,184

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Solution

The fourth proportional to 69,432, 104,165.76 and 20,184 is: 30,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,432 : 104,165.76 = 20,184 : x
  2. Step 2: Convert to fraction form
    69,432/104,165.76 = 20,184/x
  3. Step 3: Cross multiply
    69,432x = 104,165.76 × 20,184
  4. Step 4: Simplify right side
    69,432x = 2,102,481,699.84
  5. Step 5: Solve for x
    x = 2,102,481,699.84/69,432
  6. Step 6: Final answer
    x = 30,281.16

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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.