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Finding the Fourth Proportional to 242,571.40, 363,857.10 and 109,601.80

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Solution

The fourth proportional to 242,571.40, 363,857.10 and 109,601.80 is: 164,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571.40 : 363,857.10 = 109,601.80 : x
  2. Step 2: Convert to fraction form
    242,571.40/363,857.10 = 109,601.80/x
  3. Step 3: Cross multiply
    242,571.40x = 363,857.10 × 109,601.80
  4. Step 4: Simplify right side
    242,571.40x = 39,879,393,102.78
  5. Step 5: Solve for x
    x = 39,879,393,102.78/242,571.40
  6. Step 6: Final answer
    x = 164,402.70

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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.