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Finding the Fourth Proportional to 65,115.80, 97,658.86 and 31,364.57

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Solution

The fourth proportional to 65,115.80, 97,658.86 and 31,364.57 is: 47,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115.80 : 97,658.86 = 31,364.57 : x
  2. Step 2: Convert to fraction form
    65,115.80/97,658.86 = 31,364.57/x
  3. Step 3: Cross multiply
    65,115.80x = 97,658.86 × 31,364.57
  4. Step 4: Simplify right side
    65,115.80x = 3,063,028,150.59
  5. Step 5: Solve for x
    x = 3,063,028,150.59/65,115.80
  6. Step 6: Final answer
    x = 47,039.71

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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.