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Finding the Fourth Proportional to 77,154.72, 115,741.32 and 27,224.49

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Solution

The fourth proportional to 77,154.72, 115,741.32 and 27,224.49 is: 40,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,154.72 : 115,741.32 = 27,224.49 : x
  2. Step 2: Convert to fraction form
    77,154.72/115,741.32 = 27,224.49/x
  3. Step 3: Cross multiply
    77,154.72x = 115,741.32 × 27,224.49
  4. Step 4: Simplify right side
    77,154.72x = 3,150,998,408.93
  5. Step 5: Solve for x
    x = 3,150,998,408.93/77,154.72
  6. Step 6: Final answer
    x = 40,840.00

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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.