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Finding the Fourth Proportional to 77,379.22, 116,068.80 and 51,077.80

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Solution

The fourth proportional to 77,379.22, 116,068.80 and 51,077.80 is: 76,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,379.22 : 116,068.80 = 51,077.80 : x
  2. Step 2: Convert to fraction form
    77,379.22/116,068.80 = 51,077.80/x
  3. Step 3: Cross multiply
    77,379.22x = 116,068.80 × 51,077.80
  4. Step 4: Simplify right side
    77,379.22x = 5,928,538,952.64
  5. Step 5: Solve for x
    x = 5,928,538,952.64/77,379.22
  6. Step 6: Final answer
    x = 76,616.68

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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.