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Finding the Fourth Proportional to 284,080.82, 426,107.39 and 106,574

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Solution

The fourth proportional to 284,080.82, 426,107.39 and 106,574 is: 159,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,080.82 : 426,107.39 = 106,574 : x
  2. Step 2: Convert to fraction form
    284,080.82/426,107.39 = 106,574/x
  3. Step 3: Cross multiply
    284,080.82x = 426,107.39 × 106,574
  4. Step 4: Simplify right side
    284,080.82x = 45,411,968,981.86
  5. Step 5: Solve for x
    x = 45,411,968,981.86/284,080.82
  6. Step 6: Final answer
    x = 159,855.81

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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.