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Finding the Fourth Proportional to 228,579.64, 342,891.96 and 78,800.20

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Solution

The fourth proportional to 228,579.64, 342,891.96 and 78,800.20 is: 118,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,579.64 : 342,891.96 = 78,800.20 : x
  2. Step 2: Convert to fraction form
    228,579.64/342,891.96 = 78,800.20/x
  3. Step 3: Cross multiply
    228,579.64x = 342,891.96 × 78,800.20
  4. Step 4: Simplify right side
    228,579.64x = 27,019,955,026.39
  5. Step 5: Solve for x
    x = 27,019,955,026.39/228,579.64
  6. Step 6: Final answer
    x = 118,208.06

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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.