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Finding the Fourth Proportional to 77,660.52, 116,315.76 and 54,390.84

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Solution

The fourth proportional to 77,660.52, 116,315.76 and 54,390.84 is: 81,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660.52 : 116,315.76 = 54,390.84 : x
  2. Step 2: Convert to fraction form
    77,660.52/116,315.76 = 54,390.84/x
  3. Step 3: Cross multiply
    77,660.52x = 116,315.76 × 54,390.84
  4. Step 4: Simplify right side
    77,660.52x = 6,326,511,891.64
  5. Step 5: Solve for x
    x = 6,326,511,891.64/77,660.52
  6. Step 6: Final answer
    x = 81,463.68

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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.