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Finding the Fourth Proportional to 137,514.58, 206,224.08 and 65,458.60

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Solution

The fourth proportional to 137,514.58, 206,224.08 and 65,458.60 is: 98,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,514.58 : 206,224.08 = 65,458.60 : x
  2. Step 2: Convert to fraction form
    137,514.58/206,224.08 = 65,458.60/x
  3. Step 3: Cross multiply
    137,514.58x = 206,224.08 × 65,458.60
  4. Step 4: Simplify right side
    137,514.58x = 13,499,139,563.09
  5. Step 5: Solve for x
    x = 13,499,139,563.09/137,514.58
  6. Step 6: Final answer
    x = 98,165.15

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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.