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Finding the Fourth Proportional to 208,590.80, 312,655.80 and 115,163.60

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Solution

The fourth proportional to 208,590.80, 312,655.80 and 115,163.60 is: 172,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.80 : 312,655.80 = 115,163.60 : x
  2. Step 2: Convert to fraction form
    208,590.80/312,655.80 = 115,163.60/x
  3. Step 3: Cross multiply
    208,590.80x = 312,655.80 × 115,163.60
  4. Step 4: Simplify right side
    208,590.80x = 36,006,567,488.88
  5. Step 5: Solve for x
    x = 36,006,567,488.88/208,590.80
  6. Step 6: Final answer
    x = 172,618.20

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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.