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Finding the Fourth Proportional to 258,725.76, 357,040.08 and 145,549.44

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Solution

The fourth proportional to 258,725.76, 357,040.08 and 145,549.44 is: 200,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,725.76 : 357,040.08 = 145,549.44 : x
  2. Step 2: Convert to fraction form
    258,725.76/357,040.08 = 145,549.44/x
  3. Step 3: Cross multiply
    258,725.76x = 357,040.08 × 145,549.44
  4. Step 4: Simplify right side
    258,725.76x = 51,966,983,701.56
  5. Step 5: Solve for x
    x = 51,966,983,701.56/258,725.76
  6. Step 6: Final answer
    x = 200,857.40

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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.