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Finding the Fourth Proportional to 201,768.86, 278,430.26 and 115,723.37

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Solution

The fourth proportional to 201,768.86, 278,430.26 and 115,723.37 is: 159,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,768.86 : 278,430.26 = 115,723.37 : x
  2. Step 2: Convert to fraction form
    201,768.86/278,430.26 = 115,723.37/x
  3. Step 3: Cross multiply
    201,768.86x = 278,430.26 × 115,723.37
  4. Step 4: Simplify right side
    201,768.86x = 32,220,886,026.41
  5. Step 5: Solve for x
    x = 32,220,886,026.41/201,768.86
  6. Step 6: Final answer
    x = 159,692.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.