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Finding the Fourth Proportional to 103,456, 155,184 and 29,589.76

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Solution

The fourth proportional to 103,456, 155,184 and 29,589.76 is: 44,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456 : 155,184 = 29,589.76 : x
  2. Step 2: Convert to fraction form
    103,456/155,184 = 29,589.76/x
  3. Step 3: Cross multiply
    103,456x = 155,184 × 29,589.76
  4. Step 4: Simplify right side
    103,456x = 4,591,857,315.84
  5. Step 5: Solve for x
    x = 4,591,857,315.84/103,456
  6. Step 6: Final answer
    x = 44,384.64

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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.