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Finding the Fourth Proportional to 76,256, 114,392 and 20,852

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Solution

The fourth proportional to 76,256, 114,392 and 20,852 is: 31,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,256 : 114,392 = 20,852 : x
  2. Step 2: Convert to fraction form
    76,256/114,392 = 20,852/x
  3. Step 3: Cross multiply
    76,256x = 114,392 × 20,852
  4. Step 4: Simplify right side
    76,256x = 2,385,301,984
  5. Step 5: Solve for x
    x = 2,385,301,984/76,256
  6. Step 6: Final answer
    x = 31,280.19

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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.