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Finding the Fourth Proportional to 137,379.08, 206,009.22 and 47,431.28

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Solution

The fourth proportional to 137,379.08, 206,009.22 and 47,431.28 is: 71,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,379.08 : 206,009.22 = 47,431.28 : x
  2. Step 2: Convert to fraction form
    137,379.08/206,009.22 = 47,431.28/x
  3. Step 3: Cross multiply
    137,379.08x = 206,009.22 × 47,431.28
  4. Step 4: Simplify right side
    137,379.08x = 9,771,280,996.40
  5. Step 5: Solve for x
    x = 9,771,280,996.40/137,379.08
  6. Step 6: Final answer
    x = 71,126.41

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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.