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Finding the Fourth Proportional to 135,345.12, 186,733.32 and 78,745.56

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Solution

The fourth proportional to 135,345.12, 186,733.32 and 78,745.56 is: 108,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,345.12 : 186,733.32 = 78,745.56 : x
  2. Step 2: Convert to fraction form
    135,345.12/186,733.32 = 78,745.56/x
  3. Step 3: Cross multiply
    135,345.12x = 186,733.32 × 78,745.56
  4. Step 4: Simplify right side
    135,345.12x = 14,704,419,854.06
  5. Step 5: Solve for x
    x = 14,704,419,854.06/135,345.12
  6. Step 6: Final answer
    x = 108,643.89

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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.