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Finding the Fourth Proportional to 231,969.75, 320,112.86 and 136,482.63

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Solution

The fourth proportional to 231,969.75, 320,112.86 and 136,482.63 is: 188,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,969.75 : 320,112.86 = 136,482.63 : x
  2. Step 2: Convert to fraction form
    231,969.75/320,112.86 = 136,482.63/x
  3. Step 3: Cross multiply
    231,969.75x = 320,112.86 × 136,482.63
  4. Step 4: Simplify right side
    231,969.75x = 43,689,844,347.21
  5. Step 5: Solve for x
    x = 43,689,844,347.21/231,969.75
  6. Step 6: Final answer
    x = 188,342.85

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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.