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Finding the Fourth Proportional to 137,157.56, 205,595.54 and 66,950.52

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Solution

The fourth proportional to 137,157.56, 205,595.54 and 66,950.52 is: 100,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,157.56 : 205,595.54 = 66,950.52 : x
  2. Step 2: Convert to fraction form
    137,157.56/205,595.54 = 66,950.52/x
  3. Step 3: Cross multiply
    137,157.56x = 205,595.54 × 66,950.52
  4. Step 4: Simplify right side
    137,157.56x = 13,764,728,312.68
  5. Step 5: Solve for x
    x = 13,764,728,312.68/137,157.56
  6. Step 6: Final answer
    x = 100,357.05

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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.