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Finding the Fourth Proportional to 76,516.48, 114,780.48 and 21,112

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Solution

The fourth proportional to 76,516.48, 114,780.48 and 21,112 is: 31,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516.48 : 114,780.48 = 21,112 : x
  2. Step 2: Convert to fraction form
    76,516.48/114,780.48 = 21,112/x
  3. Step 3: Cross multiply
    76,516.48x = 114,780.48 × 21,112
  4. Step 4: Simplify right side
    76,516.48x = 2,423,245,493.76
  5. Step 5: Solve for x
    x = 2,423,245,493.76/76,516.48
  6. Step 6: Final answer
    x = 31,669.59

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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.