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Finding the Fourth Proportional to 208,845.60, 313,308.80 and 84,199.20

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Solution

The fourth proportional to 208,845.60, 313,308.80 and 84,199.20 is: 126,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,845.60 : 313,308.80 = 84,199.20 : x
  2. Step 2: Convert to fraction form
    208,845.60/313,308.80 = 84,199.20/x
  3. Step 3: Cross multiply
    208,845.60x = 313,308.80 × 84,199.20
  4. Step 4: Simplify right side
    208,845.60x = 26,380,350,312.96
  5. Step 5: Solve for x
    x = 26,380,350,312.96/208,845.60
  6. Step 6: Final answer
    x = 126,315.09

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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.