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Finding the Fourth Proportional to 208,889.60, 313,219.20 and 84,089.60

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Solution

The fourth proportional to 208,889.60, 313,219.20 and 84,089.60 is: 126,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.60 : 313,219.20 = 84,089.60 : x
  2. Step 2: Convert to fraction form
    208,889.60/313,219.20 = 84,089.60/x
  3. Step 3: Cross multiply
    208,889.60x = 313,219.20 × 84,089.60
  4. Step 4: Simplify right side
    208,889.60x = 26,338,477,240.32
  5. Step 5: Solve for x
    x = 26,338,477,240.32/208,889.60
  6. Step 6: Final answer
    x = 126,088.03

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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.