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Finding the Fourth Proportional to 228,077.80, 342,116.70 and 115,714.60

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Solution

The fourth proportional to 228,077.80, 342,116.70 and 115,714.60 is: 173,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.80 : 342,116.70 = 115,714.60 : x
  2. Step 2: Convert to fraction form
    228,077.80/342,116.70 = 115,714.60/x
  3. Step 3: Cross multiply
    228,077.80x = 342,116.70 × 115,714.60
  4. Step 4: Simplify right side
    228,077.80x = 39,587,897,093.82
  5. Step 5: Solve for x
    x = 39,587,897,093.82/228,077.80
  6. Step 6: Final answer
    x = 173,571.90

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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.