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Finding the Fourth Proportional to 103,443.76, 155,165.35 and 27,542.30

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Solution

The fourth proportional to 103,443.76, 155,165.35 and 27,542.30 is: 41,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443.76 : 155,165.35 = 27,542.30 : x
  2. Step 2: Convert to fraction form
    103,443.76/155,165.35 = 27,542.30/x
  3. Step 3: Cross multiply
    103,443.76x = 155,165.35 × 27,542.30
  4. Step 4: Simplify right side
    103,443.76x = 4,273,610,250.39
  5. Step 5: Solve for x
    x = 4,273,610,250.39/103,443.76
  6. Step 6: Final answer
    x = 41,313.37

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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.