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Finding the Fourth Proportional to 206,321.79, 284,659.32 and 115,664.58

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Solution

The fourth proportional to 206,321.79, 284,659.32 and 115,664.58 is: 159,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,321.79 : 284,659.32 = 115,664.58 : x
  2. Step 2: Convert to fraction form
    206,321.79/284,659.32 = 115,664.58/x
  3. Step 3: Cross multiply
    206,321.79x = 284,659.32 × 115,664.58
  4. Step 4: Simplify right side
    206,321.79x = 32,925,000,690.89
  5. Step 5: Solve for x
    x = 32,925,000,690.89/206,321.79
  6. Step 6: Final answer
    x = 159,580.82

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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.