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Finding the Fourth Proportional to 231,970.46, 320,104.07 and 136,458.70

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Solution

The fourth proportional to 231,970.46, 320,104.07 and 136,458.70 is: 188,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,970.46 : 320,104.07 = 136,458.70 : x
  2. Step 2: Convert to fraction form
    231,970.46/320,104.07 = 136,458.70/x
  3. Step 3: Cross multiply
    231,970.46x = 320,104.07 × 136,458.70
  4. Step 4: Simplify right side
    231,970.46x = 43,680,985,256.91
  5. Step 5: Solve for x
    x = 43,680,985,256.91/231,970.46
  6. Step 6: Final answer
    x = 188,304.09

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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.