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Finding the Fourth Proportional to 205,102.59, 307,211.02 and 200,083.43

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Solution

The fourth proportional to 205,102.59, 307,211.02 and 200,083.43 is: 299,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,102.59 : 307,211.02 = 200,083.43 : x
  2. Step 2: Convert to fraction form
    205,102.59/307,211.02 = 200,083.43/x
  3. Step 3: Cross multiply
    205,102.59x = 307,211.02 × 200,083.43
  4. Step 4: Simplify right side
    205,102.59x = 61,467,834,615.40
  5. Step 5: Solve for x
    x = 61,467,834,615.40/205,102.59
  6. Step 6: Final answer
    x = 299,693.12

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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.