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Finding the Fourth Proportional to 103,612, 155,444.10 and 29,740

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Solution

The fourth proportional to 103,612, 155,444.10 and 29,740 is: 44,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 155,444.10 = 29,740 : x
  2. Step 2: Convert to fraction form
    103,612/155,444.10 = 29,740/x
  3. Step 3: Cross multiply
    103,612x = 155,444.10 × 29,740
  4. Step 4: Simplify right side
    103,612x = 4,622,907,534
  5. Step 5: Solve for x
    x = 4,622,907,534/103,612
  6. Step 6: Final answer
    x = 44,617.49

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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.