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Finding the Fourth Proportional to 77,195.52, 116,371.80 and 72,051.78

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Solution

The fourth proportional to 77,195.52, 116,371.80 and 72,051.78 is: 108,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,195.52 : 116,371.80 = 72,051.78 : x
  2. Step 2: Convert to fraction form
    77,195.52/116,371.80 = 72,051.78/x
  3. Step 3: Cross multiply
    77,195.52x = 116,371.80 × 72,051.78
  4. Step 4: Simplify right side
    77,195.52x = 8,384,795,331.80
  5. Step 5: Solve for x
    x = 8,384,795,331.80/77,195.52
  6. Step 6: Final answer
    x = 108,617.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.