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Finding the Fourth Proportional to 208,402.80, 312,604.20 and 115,090.80

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Solution

The fourth proportional to 208,402.80, 312,604.20 and 115,090.80 is: 172,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,402.80 : 312,604.20 = 115,090.80 : x
  2. Step 2: Convert to fraction form
    208,402.80/312,604.20 = 115,090.80/x
  3. Step 3: Cross multiply
    208,402.80x = 312,604.20 × 115,090.80
  4. Step 4: Simplify right side
    208,402.80x = 35,977,867,461.36
  5. Step 5: Solve for x
    x = 35,977,867,461.36/208,402.80
  6. Step 6: Final answer
    x = 172,636.20

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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.