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Finding the Fourth Proportional to 363,940.02, 545,910.03 and 142,168.50

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Solution

The fourth proportional to 363,940.02, 545,910.03 and 142,168.50 is: 213,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,940.02 : 545,910.03 = 142,168.50 : x
  2. Step 2: Convert to fraction form
    363,940.02/545,910.03 = 142,168.50/x
  3. Step 3: Cross multiply
    363,940.02x = 545,910.03 × 142,168.50
  4. Step 4: Simplify right side
    363,940.02x = 77,611,210,100.06
  5. Step 5: Solve for x
    x = 77,611,210,100.06/363,940.02
  6. Step 6: Final answer
    x = 213,252.75

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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.