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Finding the Fourth Proportional to 188,259.28, 281,958.84 and 89,832.40

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Solution

The fourth proportional to 188,259.28, 281,958.84 and 89,832.40 is: 134,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,259.28 : 281,958.84 = 89,832.40 : x
  2. Step 2: Convert to fraction form
    188,259.28/281,958.84 = 89,832.40/x
  3. Step 3: Cross multiply
    188,259.28x = 281,958.84 × 89,832.40
  4. Step 4: Simplify right side
    188,259.28x = 25,329,039,298.42
  5. Step 5: Solve for x
    x = 25,329,039,298.42/188,259.28
  6. Step 6: Final answer
    x = 134,543.38

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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.