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Finding the Fourth Proportional to 97,321.82, 134,304.12 and 54,880.34

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Solution

The fourth proportional to 97,321.82, 134,304.12 and 54,880.34 is: 75,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.82 : 134,304.12 = 54,880.34 : x
  2. Step 2: Convert to fraction form
    97,321.82/134,304.12 = 54,880.34/x
  3. Step 3: Cross multiply
    97,321.82x = 134,304.12 × 54,880.34
  4. Step 4: Simplify right side
    97,321.82x = 7,370,655,097.48
  5. Step 5: Solve for x
    x = 7,370,655,097.48/97,321.82
  6. Step 6: Final answer
    x = 75,734.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.