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Finding the Fourth Proportional to 231,963.14, 320,079.21 and 136,434.98

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Solution

The fourth proportional to 231,963.14, 320,079.21 and 136,434.98 is: 188,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,963.14 : 320,079.21 = 136,434.98 : x
  2. Step 2: Convert to fraction form
    231,963.14/320,079.21 = 136,434.98/x
  3. Step 3: Cross multiply
    231,963.14x = 320,079.21 × 136,434.98
  4. Step 4: Simplify right side
    231,963.14x = 43,670,000,614.77
  5. Step 5: Solve for x
    x = 43,670,000,614.77/231,963.14
  6. Step 6: Final answer
    x = 188,262.67

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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.