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Finding the Fourth Proportional to 206,512.34, 285,019.16 and 115,904.93

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Solution

The fourth proportional to 206,512.34, 285,019.16 and 115,904.93 is: 159,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,512.34 : 285,019.16 = 115,904.93 : x
  2. Step 2: Convert to fraction form
    206,512.34/285,019.16 = 115,904.93/x
  3. Step 3: Cross multiply
    206,512.34x = 285,019.16 × 115,904.93
  4. Step 4: Simplify right side
    206,512.34x = 33,035,123,783.84
  5. Step 5: Solve for x
    x = 33,035,123,783.84/206,512.34
  6. Step 6: Final answer
    x = 159,966.83

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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.