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Finding the Fourth Proportional to 188,098.89, 259,566.17 and 103,209.27

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Solution

The fourth proportional to 188,098.89, 259,566.17 and 103,209.27 is: 142,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098.89 : 259,566.17 = 103,209.27 : x
  2. Step 2: Convert to fraction form
    188,098.89/259,566.17 = 103,209.27/x
  3. Step 3: Cross multiply
    188,098.89x = 259,566.17 × 103,209.27
  4. Step 4: Simplify right side
    188,098.89x = 26,789,634,406.35
  5. Step 5: Solve for x
    x = 26,789,634,406.35/188,098.89
  6. Step 6: Final answer
    x = 142,423.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.