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Finding the Fourth Proportional to 258,156.85, 387,084.92 and 100,200.77

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Solution

The fourth proportional to 258,156.85, 387,084.92 and 100,200.77 is: 150,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,156.85 : 387,084.92 = 100,200.77 : x
  2. Step 2: Convert to fraction form
    258,156.85/387,084.92 = 100,200.77/x
  3. Step 3: Cross multiply
    258,156.85x = 387,084.92 × 100,200.77
  4. Step 4: Simplify right side
    258,156.85x = 38,786,206,538.38
  5. Step 5: Solve for x
    x = 38,786,206,538.38/258,156.85
  6. Step 6: Final answer
    x = 150,242.80

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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.