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Finding the Fourth Proportional to 258,136.80, 387,054.84 and 100,180.74

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Solution

The fourth proportional to 258,136.80, 387,054.84 and 100,180.74 is: 150,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,136.80 : 387,054.84 = 100,180.74 : x
  2. Step 2: Convert to fraction form
    258,136.80/387,054.84 = 100,180.74/x
  3. Step 3: Cross multiply
    258,136.80x = 387,054.84 × 100,180.74
  4. Step 4: Simplify right side
    258,136.80x = 38,775,440,291.78
  5. Step 5: Solve for x
    x = 38,775,440,291.78/258,136.80
  6. Step 6: Final answer
    x = 150,212.76

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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.