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Finding the Fourth Proportional to 140,788.56, 194,214.56 and 87,056.40

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Solution

The fourth proportional to 140,788.56, 194,214.56 and 87,056.40 is: 120,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,788.56 : 194,214.56 = 87,056.40 : x
  2. Step 2: Convert to fraction form
    140,788.56/194,214.56 = 87,056.40/x
  3. Step 3: Cross multiply
    140,788.56x = 194,214.56 × 87,056.40
  4. Step 4: Simplify right side
    140,788.56x = 16,907,620,421.18
  5. Step 5: Solve for x
    x = 16,907,620,421.18/140,788.56
  6. Step 6: Final answer
    x = 120,092.29

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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.