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Finding the Fourth Proportional to 77,653.97, 116,483.54 and 21,489.38

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Solution

The fourth proportional to 77,653.97, 116,483.54 and 21,489.38 is: 32,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653.97 : 116,483.54 = 21,489.38 : x
  2. Step 2: Convert to fraction form
    77,653.97/116,483.54 = 21,489.38/x
  3. Step 3: Cross multiply
    77,653.97x = 116,483.54 × 21,489.38
  4. Step 4: Simplify right side
    77,653.97x = 2,503,158,801.75
  5. Step 5: Solve for x
    x = 2,503,158,801.75/77,653.97
  6. Step 6: Final answer
    x = 32,234.78

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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.