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Finding the Fourth Proportional to 258,137.12, 387,225.12 and 71,147

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Solution

The fourth proportional to 258,137.12, 387,225.12 and 71,147 is: 106,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,137.12 : 387,225.12 = 71,147 : x
  2. Step 2: Convert to fraction form
    258,137.12/387,225.12 = 71,147/x
  3. Step 3: Cross multiply
    258,137.12x = 387,225.12 × 71,147
  4. Step 4: Simplify right side
    258,137.12x = 27,549,905,612.64
  5. Step 5: Solve for x
    x = 27,549,905,612.64/258,137.12
  6. Step 6: Final answer
    x = 106,725.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.