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Finding the Fourth Proportional to 378,056.20, 567,138.30 and 111,782.20

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Solution

The fourth proportional to 378,056.20, 567,138.30 and 111,782.20 is: 167,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,056.20 : 567,138.30 = 111,782.20 : x
  2. Step 2: Convert to fraction form
    378,056.20/567,138.30 = 111,782.20/x
  3. Step 3: Cross multiply
    378,056.20x = 567,138.30 × 111,782.20
  4. Step 4: Simplify right side
    378,056.20x = 63,395,966,878.26
  5. Step 5: Solve for x
    x = 63,395,966,878.26/378,056.20
  6. Step 6: Final answer
    x = 167,689.27

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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.