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Finding the Fourth Proportional to 210,664.16, 315,996.56 and 84,361.28

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Solution

The fourth proportional to 210,664.16, 315,996.56 and 84,361.28 is: 126,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,664.16 : 315,996.56 = 84,361.28 : x
  2. Step 2: Convert to fraction form
    210,664.16/315,996.56 = 84,361.28/x
  3. Step 3: Cross multiply
    210,664.16x = 315,996.56 × 84,361.28
  4. Step 4: Simplify right side
    210,664.16x = 26,657,874,277.20
  5. Step 5: Solve for x
    x = 26,657,874,277.20/210,664.16
  6. Step 6: Final answer
    x = 126,542.05

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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.