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Finding the Fourth Proportional to 45,564, 68,346 and 12,732

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Solution

The fourth proportional to 45,564, 68,346 and 12,732 is: 19,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,564 : 68,346 = 12,732 : x
  2. Step 2: Convert to fraction form
    45,564/68,346 = 12,732/x
  3. Step 3: Cross multiply
    45,564x = 68,346 × 12,732
  4. Step 4: Simplify right side
    45,564x = 870,181,272
  5. Step 5: Solve for x
    x = 870,181,272/45,564
  6. Step 6: Final answer
    x = 19,098

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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.