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Finding the Fourth Proportional to 200,821.40, 301,021.92 and 67,655.64

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Solution

The fourth proportional to 200,821.40, 301,021.92 and 67,655.64 is: 101,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,821.40 : 301,021.92 = 67,655.64 : x
  2. Step 2: Convert to fraction form
    200,821.40/301,021.92 = 67,655.64/x
  3. Step 3: Cross multiply
    200,821.40x = 301,021.92 × 67,655.64
  4. Step 4: Simplify right side
    200,821.40x = 20,365,830,651.63
  5. Step 5: Solve for x
    x = 20,365,830,651.63/200,821.40
  6. Step 6: Final answer
    x = 101,412.65

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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.