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Finding the Fourth Proportional to 208,984.80, 313,611.60 and 115,557.60

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Solution

The fourth proportional to 208,984.80, 313,611.60 and 115,557.60 is: 173,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.80 : 313,611.60 = 115,557.60 : x
  2. Step 2: Convert to fraction form
    208,984.80/313,611.60 = 115,557.60/x
  3. Step 3: Cross multiply
    208,984.80x = 313,611.60 × 115,557.60
  4. Step 4: Simplify right side
    208,984.80x = 36,240,203,828.16
  5. Step 5: Solve for x
    x = 36,240,203,828.16/208,984.80
  6. Step 6: Final answer
    x = 173,410.72

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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.