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Finding the Fourth Proportional to 232,141.28, 320,330.84 and 136,642.28

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Solution

The fourth proportional to 232,141.28, 320,330.84 and 136,642.28 is: 188,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,141.28 : 320,330.84 = 136,642.28 : x
  2. Step 2: Convert to fraction form
    232,141.28/320,330.84 = 136,642.28/x
  3. Step 3: Cross multiply
    232,141.28x = 320,330.84 × 136,642.28
  4. Step 4: Simplify right side
    232,141.28x = 43,770,734,047.05
  5. Step 5: Solve for x
    x = 43,770,734,047.05/232,141.28
  6. Step 6: Final answer
    x = 188,552.14

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1.5x scale

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.