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Finding the Fourth Proportional to 205,053.70, 307,908.60 and 155,190.10

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Solution

The fourth proportional to 205,053.70, 307,908.60 and 155,190.10 is: 233,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,053.70 : 307,908.60 = 155,190.10 : x
  2. Step 2: Convert to fraction form
    205,053.70/307,908.60 = 155,190.10/x
  3. Step 3: Cross multiply
    205,053.70x = 307,908.60 × 155,190.10
  4. Step 4: Simplify right side
    205,053.70x = 47,784,366,424.86
  5. Step 5: Solve for x
    x = 47,784,366,424.86/205,053.70
  6. Step 6: Final answer
    x = 233,033.43

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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.