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Finding the Fourth Proportional to 258,114.76, 387,006.78 and 100,213.48

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Solution

The fourth proportional to 258,114.76, 387,006.78 and 100,213.48 is: 150,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,114.76 : 387,006.78 = 100,213.48 : x
  2. Step 2: Convert to fraction form
    258,114.76/387,006.78 = 100,213.48/x
  3. Step 3: Cross multiply
    258,114.76x = 387,006.78 × 100,213.48
  4. Step 4: Simplify right side
    258,114.76x = 38,783,296,207.39
  5. Step 5: Solve for x
    x = 38,783,296,207.39/258,114.76
  6. Step 6: Final answer
    x = 150,256.02

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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.