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Finding the Fourth Proportional to 137,871.37, 206,840.29 and 47,900.97

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Solution

The fourth proportional to 137,871.37, 206,840.29 and 47,900.97 is: 71,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871.37 : 206,840.29 = 47,900.97 : x
  2. Step 2: Convert to fraction form
    137,871.37/206,840.29 = 47,900.97/x
  3. Step 3: Cross multiply
    137,871.37x = 206,840.29 × 47,900.97
  4. Step 4: Simplify right side
    137,871.37x = 9,907,850,526.08
  5. Step 5: Solve for x
    x = 9,907,850,526.08/137,871.37
  6. Step 6: Final answer
    x = 71,863.00

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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.