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Finding the Fourth Proportional to 189,090.48, 260,950.86 and 108,532.80

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Solution

The fourth proportional to 189,090.48, 260,950.86 and 108,532.80 is: 149,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,090.48 : 260,950.86 = 108,532.80 : x
  2. Step 2: Convert to fraction form
    189,090.48/260,950.86 = 108,532.80/x
  3. Step 3: Cross multiply
    189,090.48x = 260,950.86 × 108,532.80
  4. Step 4: Simplify right side
    189,090.48x = 28,321,727,498.21
  5. Step 5: Solve for x
    x = 28,321,727,498.21/189,090.48
  6. Step 6: Final answer
    x = 149,778.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.