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Finding the Fourth Proportional to 171,342.88, 256,904.64 and 82,419.28

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Solution

The fourth proportional to 171,342.88, 256,904.64 and 82,419.28 is: 123,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,342.88 : 256,904.64 = 82,419.28 : x
  2. Step 2: Convert to fraction form
    171,342.88/256,904.64 = 82,419.28/x
  3. Step 3: Cross multiply
    171,342.88x = 256,904.64 × 82,419.28
  4. Step 4: Simplify right side
    171,342.88x = 21,173,895,457.46
  5. Step 5: Solve for x
    x = 21,173,895,457.46/171,342.88
  6. Step 6: Final answer
    x = 123,576.16

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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.