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Finding the Fourth Proportional to 77,665.77, 116,323.64 and 54,396.09

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Solution

The fourth proportional to 77,665.77, 116,323.64 and 54,396.09 is: 81,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,665.77 : 116,323.64 = 54,396.09 : x
  2. Step 2: Convert to fraction form
    77,665.77/116,323.64 = 54,396.09/x
  3. Step 3: Cross multiply
    77,665.77x = 116,323.64 × 54,396.09
  4. Step 4: Simplify right side
    77,665.77x = 6,327,550,918.59
  5. Step 5: Solve for x
    x = 6,327,550,918.59/77,665.77
  6. Step 6: Final answer
    x = 81,471.55

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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.