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Finding the Fourth Proportional to 77,809.96, 116,539.89 and 54,540.28

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Solution

The fourth proportional to 77,809.96, 116,539.89 and 54,540.28 is: 81,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809.96 : 116,539.89 = 54,540.28 : x
  2. Step 2: Convert to fraction form
    77,809.96/116,539.89 = 54,540.28/x
  3. Step 3: Cross multiply
    77,809.96x = 116,539.89 × 54,540.28
  4. Step 4: Simplify right side
    77,809.96x = 6,356,118,231.77
  5. Step 5: Solve for x
    x = 6,356,118,231.77/77,809.96
  6. Step 6: Final answer
    x = 81,687.72

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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.