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Finding the Fourth Proportional to 200,140.70, 300,231.99 and 65,215.25

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Solution

The fourth proportional to 200,140.70, 300,231.99 and 65,215.25 is: 97,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,140.70 : 300,231.99 = 65,215.25 : x
  2. Step 2: Convert to fraction form
    200,140.70/300,231.99 = 65,215.25/x
  3. Step 3: Cross multiply
    200,140.70x = 300,231.99 × 65,215.25
  4. Step 4: Simplify right side
    200,140.70x = 19,579,702,784.69
  5. Step 5: Solve for x
    x = 19,579,702,784.69/200,140.70
  6. Step 6: Final answer
    x = 97,829.69

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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.