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Finding the Fourth Proportional to 96,681.57, 133,420 and 54,240

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Solution

The fourth proportional to 96,681.57, 133,420 and 54,240 is: 74,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,681.57 : 133,420 = 54,240 : x
  2. Step 2: Convert to fraction form
    96,681.57/133,420 = 54,240/x
  3. Step 3: Cross multiply
    96,681.57x = 133,420 × 54,240
  4. Step 4: Simplify right side
    96,681.57x = 7,236,700,800
  5. Step 5: Solve for x
    x = 7,236,700,800/96,681.57
  6. Step 6: Final answer
    x = 74,850.88

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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.