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Finding the Fourth Proportional to 135,575.96, 187,101.72 and 78,193.94

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Solution

The fourth proportional to 135,575.96, 187,101.72 and 78,193.94 is: 107,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,575.96 : 187,101.72 = 78,193.94 : x
  2. Step 2: Convert to fraction form
    135,575.96/187,101.72 = 78,193.94/x
  3. Step 3: Cross multiply
    135,575.96x = 187,101.72 × 78,193.94
  4. Step 4: Simplify right side
    135,575.96x = 14,630,219,732.07
  5. Step 5: Solve for x
    x = 14,630,219,732.07/135,575.96
  6. Step 6: Final answer
    x = 107,911.61

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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.