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Finding the Fourth Proportional to 140,892.75, 194,451.89 and 87,195.06

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Solution

The fourth proportional to 140,892.75, 194,451.89 and 87,195.06 is: 120,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,892.75 : 194,451.89 = 87,195.06 : x
  2. Step 2: Convert to fraction form
    140,892.75/194,451.89 = 87,195.06/x
  3. Step 3: Cross multiply
    140,892.75x = 194,451.89 × 87,195.06
  4. Step 4: Simplify right side
    140,892.75x = 16,955,243,779.69
  5. Step 5: Solve for x
    x = 16,955,243,779.69/140,892.75
  6. Step 6: Final answer
    x = 120,341.49

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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.