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Finding the Fourth Proportional to 225,931.62, 311,793.93 and 136,490.34

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Solution

The fourth proportional to 225,931.62, 311,793.93 and 136,490.34 is: 188,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,931.62 : 311,793.93 = 136,490.34 : x
  2. Step 2: Convert to fraction form
    225,931.62/311,793.93 = 136,490.34/x
  3. Step 3: Cross multiply
    225,931.62x = 311,793.93 × 136,490.34
  4. Step 4: Simplify right side
    225,931.62x = 42,556,859,515.64
  5. Step 5: Solve for x
    x = 42,556,859,515.64/225,931.62
  6. Step 6: Final answer
    x = 188,361.68

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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.