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Finding the Fourth Proportional to 200,133.05, 300,116.54 and 73,780.50

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Solution

The fourth proportional to 200,133.05, 300,116.54 and 73,780.50 is: 110,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,133.05 : 300,116.54 = 73,780.50 : x
  2. Step 2: Convert to fraction form
    200,133.05/300,116.54 = 73,780.50/x
  3. Step 3: Cross multiply
    200,133.05x = 300,116.54 × 73,780.50
  4. Step 4: Simplify right side
    200,133.05x = 22,142,747,157.13
  5. Step 5: Solve for x
    x = 22,142,747,157.13/200,133.05
  6. Step 6: Final answer
    x = 110,640.13

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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.