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Finding the Fourth Proportional to 149,711.40, 224,415.90 and 74,716.20

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Solution

The fourth proportional to 149,711.40, 224,415.90 and 74,716.20 is: 111,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,711.40 : 224,415.90 = 74,716.20 : x
  2. Step 2: Convert to fraction form
    149,711.40/224,415.90 = 74,716.20/x
  3. Step 3: Cross multiply
    149,711.40x = 224,415.90 × 74,716.20
  4. Step 4: Simplify right side
    149,711.40x = 16,767,503,267.58
  5. Step 5: Solve for x
    x = 16,767,503,267.58/149,711.40
  6. Step 6: Final answer
    x = 111,998.84

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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.