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Finding the Fourth Proportional to 55,927.37, 77,179.78 and 30,776.87

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Solution

The fourth proportional to 55,927.37, 77,179.78 and 30,776.87 is: 42,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,927.37 : 77,179.78 = 30,776.87 : x
  2. Step 2: Convert to fraction form
    55,927.37/77,179.78 = 30,776.87/x
  3. Step 3: Cross multiply
    55,927.37x = 77,179.78 × 30,776.87
  4. Step 4: Simplify right side
    55,927.37x = 2,375,352,055.69
  5. Step 5: Solve for x
    x = 2,375,352,055.69/55,927.37
  6. Step 6: Final answer
    x = 42,472.09

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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.