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Finding the Fourth Proportional to 206,284.56, 284,672.36 and 125,712.40

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Solution

The fourth proportional to 206,284.56, 284,672.36 and 125,712.40 is: 173,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,284.56 : 284,672.36 = 125,712.40 : x
  2. Step 2: Convert to fraction form
    206,284.56/284,672.36 = 125,712.40/x
  3. Step 3: Cross multiply
    206,284.56x = 284,672.36 × 125,712.40
  4. Step 4: Simplify right side
    206,284.56x = 35,786,845,589.26
  5. Step 5: Solve for x
    x = 35,786,845,589.26/206,284.56
  6. Step 6: Final answer
    x = 173,482.91

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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.