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Finding the Fourth Proportional to 206,657.34, 285,113.76 and 135,078.66

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Solution

The fourth proportional to 206,657.34, 285,113.76 and 135,078.66 is: 186,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.34 : 285,113.76 = 135,078.66 : x
  2. Step 2: Convert to fraction form
    206,657.34/285,113.76 = 135,078.66/x
  3. Step 3: Cross multiply
    206,657.34x = 285,113.76 × 135,078.66
  4. Step 4: Simplify right side
    206,657.34x = 38,512,784,648.36
  5. Step 5: Solve for x
    x = 38,512,784,648.36/206,657.34
  6. Step 6: Final answer
    x = 186,360.59

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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.