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Finding the Fourth Proportional to 210,503.66, 315,906.75 and 84,071.43

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Solution

The fourth proportional to 210,503.66, 315,906.75 and 84,071.43 is: 126,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,503.66 : 315,906.75 = 84,071.43 : x
  2. Step 2: Convert to fraction form
    210,503.66/315,906.75 = 84,071.43/x
  3. Step 3: Cross multiply
    210,503.66x = 315,906.75 × 84,071.43
  4. Step 4: Simplify right side
    210,503.66x = 26,558,732,219.15
  5. Step 5: Solve for x
    x = 26,558,732,219.15/210,503.66
  6. Step 6: Final answer
    x = 126,167.56

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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.