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Finding the Fourth Proportional to 200,020.56, 300,030.84 and 81,665.52

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Solution

The fourth proportional to 200,020.56, 300,030.84 and 81,665.52 is: 122,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,020.56 : 300,030.84 = 81,665.52 : x
  2. Step 2: Convert to fraction form
    200,020.56/300,030.84 = 81,665.52/x
  3. Step 3: Cross multiply
    200,020.56x = 300,030.84 × 81,665.52
  4. Step 4: Simplify right side
    200,020.56x = 24,502,174,564.64
  5. Step 5: Solve for x
    x = 24,502,174,564.64/200,020.56
  6. Step 6: Final answer
    x = 122,498.28

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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.