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Finding the Fourth Proportional to 206,484.41, 309,602.67 and 71,503.98

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Solution

The fourth proportional to 206,484.41, 309,602.67 and 71,503.98 is: 107,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,484.41 : 309,602.67 = 71,503.98 : x
  2. Step 2: Convert to fraction form
    206,484.41/309,602.67 = 71,503.98/x
  3. Step 3: Cross multiply
    206,484.41x = 309,602.67 × 71,503.98
  4. Step 4: Simplify right side
    206,484.41x = 22,137,823,123.63
  5. Step 5: Solve for x
    x = 22,137,823,123.63/206,484.41
  6. Step 6: Final answer
    x = 107,213.05

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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.