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Finding the Fourth Proportional to 188,962.64, 283,478.84 and 78,163.28

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Solution

The fourth proportional to 188,962.64, 283,478.84 and 78,163.28 is: 117,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,962.64 : 283,478.84 = 78,163.28 : x
  2. Step 2: Convert to fraction form
    188,962.64/283,478.84 = 78,163.28/x
  3. Step 3: Cross multiply
    188,962.64x = 283,478.84 × 78,163.28
  4. Step 4: Simplify right side
    188,962.64x = 22,157,635,945.00
  5. Step 5: Solve for x
    x = 22,157,635,945.00/188,962.64
  6. Step 6: Final answer
    x = 117,259.35

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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.