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Finding the Fourth Proportional to 188,213.64, 282,071.26 and 138,058.90

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Solution

The fourth proportional to 188,213.64, 282,071.26 and 138,058.90 is: 206,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,213.64 : 282,071.26 = 138,058.90 : x
  2. Step 2: Convert to fraction form
    188,213.64/282,071.26 = 138,058.90/x
  3. Step 3: Cross multiply
    188,213.64x = 282,071.26 × 138,058.90
  4. Step 4: Simplify right side
    188,213.64x = 38,942,447,877.21
  5. Step 5: Solve for x
    x = 38,942,447,877.21/188,213.64
  6. Step 6: Final answer
    x = 206,905.56

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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.