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Finding the Fourth Proportional to 277,109.67, 415,662 and 87,570.07

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Solution

The fourth proportional to 277,109.67, 415,662 and 87,570.07 is: 131,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,109.67 : 415,662 = 87,570.07 : x
  2. Step 2: Convert to fraction form
    277,109.67/415,662 = 87,570.07/x
  3. Step 3: Cross multiply
    277,109.67x = 415,662 × 87,570.07
  4. Step 4: Simplify right side
    277,109.67x = 36,399,550,436.34
  5. Step 5: Solve for x
    x = 36,399,550,436.34/277,109.67
  6. Step 6: Final answer
    x = 131,354.31

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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.