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Finding the Fourth Proportional to 208,195.60, 312,005.40 and 166,147.60

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Solution

The fourth proportional to 208,195.60, 312,005.40 and 166,147.60 is: 248,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,195.60 : 312,005.40 = 166,147.60 : x
  2. Step 2: Convert to fraction form
    208,195.60/312,005.40 = 166,147.60/x
  3. Step 3: Cross multiply
    208,195.60x = 312,005.40 × 166,147.60
  4. Step 4: Simplify right side
    208,195.60x = 51,838,948,397.04
  5. Step 5: Solve for x
    x = 51,838,948,397.04/208,195.60
  6. Step 6: Final answer
    x = 248,991.57

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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.