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Finding the Fourth Proportional to 208,544.40, 312,962.40 and 133,846.20

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Solution

The fourth proportional to 208,544.40, 312,962.40 and 133,846.20 is: 200,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,544.40 : 312,962.40 = 133,846.20 : x
  2. Step 2: Convert to fraction form
    208,544.40/312,962.40 = 133,846.20/x
  3. Step 3: Cross multiply
    208,544.40x = 312,962.40 × 133,846.20
  4. Step 4: Simplify right side
    208,544.40x = 41,888,827,982.88
  5. Step 5: Solve for x
    x = 41,888,827,982.88/208,544.40
  6. Step 6: Final answer
    x = 200,862.88

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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.