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Finding the Fourth Proportional to 137,269.37, 205,878.69 and 42,481.88

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Solution

The fourth proportional to 137,269.37, 205,878.69 and 42,481.88 is: 63,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,269.37 : 205,878.69 = 42,481.88 : x
  2. Step 2: Convert to fraction form
    137,269.37/205,878.69 = 42,481.88/x
  3. Step 3: Cross multiply
    137,269.37x = 205,878.69 × 42,481.88
  4. Step 4: Simplify right side
    137,269.37x = 8,746,113,803.14
  5. Step 5: Solve for x
    x = 8,746,113,803.14/137,269.37
  6. Step 6: Final answer
    x = 63,714.97

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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.