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Finding the Fourth Proportional to 55,928.72, 77,181.79 and 30,778.22

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Solution

The fourth proportional to 55,928.72, 77,181.79 and 30,778.22 is: 42,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928.72 : 77,181.79 = 30,778.22 : x
  2. Step 2: Convert to fraction form
    55,928.72/77,181.79 = 30,778.22/x
  3. Step 3: Cross multiply
    55,928.72x = 77,181.79 × 30,778.22
  4. Step 4: Simplify right side
    55,928.72x = 2,375,518,228.62
  5. Step 5: Solve for x
    x = 2,375,518,228.62/55,928.72
  6. Step 6: Final answer
    x = 42,474.03

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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.