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Finding the Fourth Proportional to 188,556.21, 260,212.01 and 102,520.10

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Solution

The fourth proportional to 188,556.21, 260,212.01 and 102,520.10 is: 141,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,556.21 : 260,212.01 = 102,520.10 : x
  2. Step 2: Convert to fraction form
    188,556.21/260,212.01 = 102,520.10/x
  3. Step 3: Cross multiply
    188,556.21x = 260,212.01 × 102,520.10
  4. Step 4: Simplify right side
    188,556.21x = 26,676,959,472.74
  5. Step 5: Solve for x
    x = 26,676,959,472.74/188,556.21
  6. Step 6: Final answer
    x = 141,480.14

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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.