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Finding the Fourth Proportional to 258,131.64, 387,048.48 and 100,175.48

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Solution

The fourth proportional to 258,131.64, 387,048.48 and 100,175.48 is: 150,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,131.64 : 387,048.48 = 100,175.48 : x
  2. Step 2: Convert to fraction form
    258,131.64/387,048.48 = 100,175.48/x
  3. Step 3: Cross multiply
    258,131.64x = 387,048.48 × 100,175.48
  4. Step 4: Simplify right side
    258,131.64x = 38,772,767,267.27
  5. Step 5: Solve for x
    x = 38,772,767,267.27/258,131.64
  6. Step 6: Final answer
    x = 150,205.40

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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.