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Finding the Fourth Proportional to 76,772.88, 115,146.63 and 54,518.94

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Solution

The fourth proportional to 76,772.88, 115,146.63 and 54,518.94 is: 81,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772.88 : 115,146.63 = 54,518.94 : x
  2. Step 2: Convert to fraction form
    76,772.88/115,146.63 = 54,518.94/x
  3. Step 3: Cross multiply
    76,772.88x = 115,146.63 × 54,518.94
  4. Step 4: Simplify right side
    76,772.88x = 6,277,672,212.17
  5. Step 5: Solve for x
    x = 6,277,672,212.17/76,772.88
  6. Step 6: Final answer
    x = 81,769.40

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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.