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Finding the Fourth Proportional to 75,887.60, 113,960.57 and 72,713.72

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Solution

The fourth proportional to 75,887.60, 113,960.57 and 72,713.72 is: 109,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,887.60 : 113,960.57 = 72,713.72 : x
  2. Step 2: Convert to fraction form
    75,887.60/113,960.57 = 72,713.72/x
  3. Step 3: Cross multiply
    75,887.60x = 113,960.57 × 72,713.72
  4. Step 4: Simplify right side
    75,887.60x = 8,286,496,978.02
  5. Step 5: Solve for x
    x = 8,286,496,978.02/75,887.60
  6. Step 6: Final answer
    x = 109,194.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.