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Finding the Fourth Proportional to 77,168, 115,751.72 and 24,581.72

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Solution

The fourth proportional to 77,168, 115,751.72 and 24,581.72 is: 36,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168 : 115,751.72 = 24,581.72 : x
  2. Step 2: Convert to fraction form
    77,168/115,751.72 = 24,581.72/x
  3. Step 3: Cross multiply
    77,168x = 115,751.72 × 24,581.72
  4. Step 4: Simplify right side
    77,168x = 2,845,376,370.56
  5. Step 5: Solve for x
    x = 2,845,376,370.56/77,168
  6. Step 6: Final answer
    x = 36,872.49

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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.