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Finding the Fourth Proportional to 189,102.72, 261,309.60 and 138,028.80

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Solution

The fourth proportional to 189,102.72, 261,309.60 and 138,028.80 is: 190,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.72 : 261,309.60 = 138,028.80 : x
  2. Step 2: Convert to fraction form
    189,102.72/261,309.60 = 138,028.80/x
  3. Step 3: Cross multiply
    189,102.72x = 261,309.60 × 138,028.80
  4. Step 4: Simplify right side
    189,102.72x = 36,068,250,516.48
  5. Step 5: Solve for x
    x = 36,068,250,516.48/189,102.72
  6. Step 6: Final answer
    x = 190,733.64

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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.