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Finding the Fourth Proportional to 77,804.46, 116,531.64 and 54,534.78

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Solution

The fourth proportional to 77,804.46, 116,531.64 and 54,534.78 is: 81,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804.46 : 116,531.64 = 54,534.78 : x
  2. Step 2: Convert to fraction form
    77,804.46/116,531.64 = 54,534.78/x
  3. Step 3: Cross multiply
    77,804.46x = 116,531.64 × 54,534.78
  4. Step 4: Simplify right side
    77,804.46x = 6,355,027,350.44
  5. Step 5: Solve for x
    x = 6,355,027,350.44/77,804.46
  6. Step 6: Final answer
    x = 81,679.47

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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.