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Finding the Fourth Proportional to 242,942.80, 364,284.60 and 102,542.80

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Solution

The fourth proportional to 242,942.80, 364,284.60 and 102,542.80 is: 153,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,942.80 : 364,284.60 = 102,542.80 : x
  2. Step 2: Convert to fraction form
    242,942.80/364,284.60 = 102,542.80/x
  3. Step 3: Cross multiply
    242,942.80x = 364,284.60 × 102,542.80
  4. Step 4: Simplify right side
    242,942.80x = 37,354,762,880.88
  5. Step 5: Solve for x
    x = 37,354,762,880.88/242,942.80
  6. Step 6: Final answer
    x = 153,759.50

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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.