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Finding the Fourth Proportional to 239,562, 330,725.16 and 144,090

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Solution

The fourth proportional to 239,562, 330,725.16 and 144,090 is: 198,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,562 : 330,725.16 = 144,090 : x
  2. Step 2: Convert to fraction form
    239,562/330,725.16 = 144,090/x
  3. Step 3: Cross multiply
    239,562x = 330,725.16 × 144,090
  4. Step 4: Simplify right side
    239,562x = 47,654,188,304.40
  5. Step 5: Solve for x
    x = 47,654,188,304.40/239,562
  6. Step 6: Final answer
    x = 198,922.15

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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.