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Finding the Fourth Proportional to 76,582.84, 114,879.71 and 20,422.64

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Solution

The fourth proportional to 76,582.84, 114,879.71 and 20,422.64 is: 30,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582.84 : 114,879.71 = 20,422.64 : x
  2. Step 2: Convert to fraction form
    76,582.84/114,879.71 = 20,422.64/x
  3. Step 3: Cross multiply
    76,582.84x = 114,879.71 × 20,422.64
  4. Step 4: Simplify right side
    76,582.84x = 2,346,146,960.63
  5. Step 5: Solve for x
    x = 2,346,146,960.63/76,582.84
  6. Step 6: Final answer
    x = 30,635.41

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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.