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Finding the Fourth Proportional to 200,776.23, 300,985.74 and 76,204.71

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Solution

The fourth proportional to 200,776.23, 300,985.74 and 76,204.71 is: 114,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,776.23 : 300,985.74 = 76,204.71 : x
  2. Step 2: Convert to fraction form
    200,776.23/300,985.74 = 76,204.71/x
  3. Step 3: Cross multiply
    200,776.23x = 300,985.74 × 76,204.71
  4. Step 4: Simplify right side
    200,776.23x = 22,936,531,030.84
  5. Step 5: Solve for x
    x = 22,936,531,030.84/200,776.23
  6. Step 6: Final answer
    x = 114,239.28

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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.