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Finding the Fourth Proportional to 32,146, 48,219 and 13,678

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Solution

The fourth proportional to 32,146, 48,219 and 13,678 is: 20,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146 : 48,219 = 13,678 : x
  2. Step 2: Convert to fraction form
    32,146/48,219 = 13,678/x
  3. Step 3: Cross multiply
    32,146x = 48,219 × 13,678
  4. Step 4: Simplify right side
    32,146x = 659,539,482
  5. Step 5: Solve for x
    x = 659,539,482/32,146
  6. Step 6: Final answer
    x = 20,517

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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.