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Finding the Fourth Proportional to 56,078.99, 77,388.69 and 30,584.88

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Solution

The fourth proportional to 56,078.99, 77,388.69 and 30,584.88 is: 42,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,078.99 : 77,388.69 = 30,584.88 : x
  2. Step 2: Convert to fraction form
    56,078.99/77,388.69 = 30,584.88/x
  3. Step 3: Cross multiply
    56,078.99x = 77,388.69 × 30,584.88
  4. Step 4: Simplify right side
    56,078.99x = 2,366,923,797.01
  5. Step 5: Solve for x
    x = 2,366,923,797.01/56,078.99
  6. Step 6: Final answer
    x = 42,206.97

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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.