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Finding the Fourth Proportional to 76,568, 114,852 and 21,164

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Solution

The fourth proportional to 76,568, 114,852 and 21,164 is: 31,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,568 : 114,852 = 21,164 : x
  2. Step 2: Convert to fraction form
    76,568/114,852 = 21,164/x
  3. Step 3: Cross multiply
    76,568x = 114,852 × 21,164
  4. Step 4: Simplify right side
    76,568x = 2,430,727,728
  5. Step 5: Solve for x
    x = 2,430,727,728/76,568
  6. Step 6: Final answer
    x = 31,746

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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.