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Finding the Fourth Proportional to 188,549.43, 282,564.09 and 138,656.67

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Solution

The fourth proportional to 188,549.43, 282,564.09 and 138,656.67 is: 207,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,549.43 : 282,564.09 = 138,656.67 : x
  2. Step 2: Convert to fraction form
    188,549.43/282,564.09 = 138,656.67/x
  3. Step 3: Cross multiply
    188,549.43x = 282,564.09 × 138,656.67
  4. Step 4: Simplify right side
    188,549.43x = 39,179,395,780.98
  5. Step 5: Solve for x
    x = 39,179,395,780.98/188,549.43
  6. Step 6: Final answer
    x = 207,793.76

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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.