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Finding the Fourth Proportional to 378,158.76, 567,236.52 and 111,920.40

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Solution

The fourth proportional to 378,158.76, 567,236.52 and 111,920.40 is: 167,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,158.76 : 567,236.52 = 111,920.40 : x
  2. Step 2: Convert to fraction form
    378,158.76/567,236.52 = 111,920.40/x
  3. Step 3: Cross multiply
    378,158.76x = 567,236.52 × 111,920.40
  4. Step 4: Simplify right side
    378,158.76x = 63,485,338,213.01
  5. Step 5: Solve for x
    x = 63,485,338,213.01/378,158.76
  6. Step 6: Final answer
    x = 167,880.12

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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.