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Finding the Fourth Proportional to 133,687, 200,397.06 and 66,923.32

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Solution

The fourth proportional to 133,687, 200,397.06 and 66,923.32 is: 100,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687 : 200,397.06 = 66,923.32 : x
  2. Step 2: Convert to fraction form
    133,687/200,397.06 = 66,923.32/x
  3. Step 3: Cross multiply
    133,687x = 200,397.06 × 66,923.32
  4. Step 4: Simplify right side
    133,687x = 13,411,236,573.44
  5. Step 5: Solve for x
    x = 13,411,236,573.44/133,687
  6. Step 6: Final answer
    x = 100,318.18

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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.