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Finding the Fourth Proportional to 76,134, 114,247.08 and 31,758.96

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Solution

The fourth proportional to 76,134, 114,247.08 and 31,758.96 is: 47,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134 : 114,247.08 = 31,758.96 : x
  2. Step 2: Convert to fraction form
    76,134/114,247.08 = 31,758.96/x
  3. Step 3: Cross multiply
    76,134x = 114,247.08 × 31,758.96
  4. Step 4: Simplify right side
    76,134x = 3,628,368,443.84
  5. Step 5: Solve for x
    x = 3,628,368,443.84/76,134
  6. Step 6: Final answer
    x = 47,657.66

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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.