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Finding the Fourth Proportional to 76,550.72, 114,813.12 and 21,146.88

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Solution

The fourth proportional to 76,550.72, 114,813.12 and 21,146.88 is: 31,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550.72 : 114,813.12 = 21,146.88 : x
  2. Step 2: Convert to fraction form
    76,550.72/114,813.12 = 21,146.88/x
  3. Step 3: Cross multiply
    76,550.72x = 114,813.12 × 21,146.88
  4. Step 4: Simplify right side
    76,550.72x = 2,427,939,271.07
  5. Step 5: Solve for x
    x = 2,427,939,271.07/76,550.72
  6. Step 6: Final answer
    x = 31,716.74

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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.