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Finding the Fourth Proportional to 137,216.96, 205,825.44 and 90,458.88

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Solution

The fourth proportional to 137,216.96, 205,825.44 and 90,458.88 is: 135,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,216.96 : 205,825.44 = 90,458.88 : x
  2. Step 2: Convert to fraction form
    137,216.96/205,825.44 = 90,458.88/x
  3. Step 3: Cross multiply
    137,216.96x = 205,825.44 × 90,458.88
  4. Step 4: Simplify right side
    137,216.96x = 18,618,738,777.91
  5. Step 5: Solve for x
    x = 18,618,738,777.91/137,216.96
  6. Step 6: Final answer
    x = 135,688.32

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1.5x scale

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.