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Finding the Fourth Proportional to 258,223.50, 387,335.34 and 71,235

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Solution

The fourth proportional to 258,223.50, 387,335.34 and 71,235 is: 106,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,223.50 : 387,335.34 = 71,235 : x
  2. Step 2: Convert to fraction form
    258,223.50/387,335.34 = 71,235/x
  3. Step 3: Cross multiply
    258,223.50x = 387,335.34 × 71,235
  4. Step 4: Simplify right side
    258,223.50x = 27,591,832,944.90
  5. Step 5: Solve for x
    x = 27,591,832,944.90/258,223.50
  6. Step 6: Final answer
    x = 106,852.52

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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.