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Finding the Fourth Proportional to 103,408, 155,112 and 29,536

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Solution

The fourth proportional to 103,408, 155,112 and 29,536 is: 44,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408 : 155,112 = 29,536 : x
  2. Step 2: Convert to fraction form
    103,408/155,112 = 29,536/x
  3. Step 3: Cross multiply
    103,408x = 155,112 × 29,536
  4. Step 4: Simplify right side
    103,408x = 4,581,388,032
  5. Step 5: Solve for x
    x = 4,581,388,032/103,408
  6. Step 6: Final answer
    x = 44,304

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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.