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Finding the Fourth Proportional to 208,096.90, 312,291.15 and 133,398.70

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Solution

The fourth proportional to 208,096.90, 312,291.15 and 133,398.70 is: 200,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.90 : 312,291.15 = 133,398.70 : x
  2. Step 2: Convert to fraction form
    208,096.90/312,291.15 = 133,398.70/x
  3. Step 3: Cross multiply
    208,096.90x = 312,291.15 × 133,398.70
  4. Step 4: Simplify right side
    208,096.90x = 41,659,233,431.51
  5. Step 5: Solve for x
    x = 41,659,233,431.51/208,096.90
  6. Step 6: Final answer
    x = 200,191.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.