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Finding the Fourth Proportional to 204,978.72, 282,916.08 and 129,512.64

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Solution

The fourth proportional to 204,978.72, 282,916.08 and 129,512.64 is: 178,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,978.72 : 282,916.08 = 129,512.64 : x
  2. Step 2: Convert to fraction form
    204,978.72/282,916.08 = 129,512.64/x
  3. Step 3: Cross multiply
    204,978.72x = 282,916.08 × 129,512.64
  4. Step 4: Simplify right side
    204,978.72x = 36,641,208,419.25
  5. Step 5: Solve for x
    x = 36,641,208,419.25/204,978.72
  6. Step 6: Final answer
    x = 178,756.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.