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Finding the Fourth Proportional to 135,345.50, 186,733.84 and 78,745.94

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Solution

The fourth proportional to 135,345.50, 186,733.84 and 78,745.94 is: 108,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,345.50 : 186,733.84 = 78,745.94 : x
  2. Step 2: Convert to fraction form
    135,345.50/186,733.84 = 78,745.94/x
  3. Step 3: Cross multiply
    135,345.50x = 186,733.84 × 78,745.94
  4. Step 4: Simplify right side
    135,345.50x = 14,704,531,760.61
  5. Step 5: Solve for x
    x = 14,704,531,760.61/135,345.50
  6. Step 6: Final answer
    x = 108,644.41

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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.