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Finding the Fourth Proportional to 97,384.50, 134,390.61 and 54,942.12

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Solution

The fourth proportional to 97,384.50, 134,390.61 and 54,942.12 is: 75,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384.50 : 134,390.61 = 54,942.12 : x
  2. Step 2: Convert to fraction form
    97,384.50/134,390.61 = 54,942.12/x
  3. Step 3: Cross multiply
    97,384.50x = 134,390.61 × 54,942.12
  4. Step 4: Simplify right side
    97,384.50x = 7,383,705,021.49
  5. Step 5: Solve for x
    x = 7,383,705,021.49/97,384.50
  6. Step 6: Final answer
    x = 75,820.13

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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.