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Finding the Fourth Proportional to 232,972, 321,527.28 and 143,548

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Solution

The fourth proportional to 232,972, 321,527.28 and 143,548 is: 198,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,972 : 321,527.28 = 143,548 : x
  2. Step 2: Convert to fraction form
    232,972/321,527.28 = 143,548/x
  3. Step 3: Cross multiply
    232,972x = 321,527.28 × 143,548
  4. Step 4: Simplify right side
    232,972x = 46,154,597,989.44
  5. Step 5: Solve for x
    x = 46,154,597,989.44/232,972
  6. Step 6: Final answer
    x = 198,112.21

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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.