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Finding the Fourth Proportional to 97,383.57, 134,393.40 and 54,942

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Solution

The fourth proportional to 97,383.57, 134,393.40 and 54,942 is: 75,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,383.57 : 134,393.40 = 54,942 : x
  2. Step 2: Convert to fraction form
    97,383.57/134,393.40 = 54,942/x
  3. Step 3: Cross multiply
    97,383.57x = 134,393.40 × 54,942
  4. Step 4: Simplify right side
    97,383.57x = 7,383,842,182.80
  5. Step 5: Solve for x
    x = 7,383,842,182.80/97,383.57
  6. Step 6: Final answer
    x = 75,822.26

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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.