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Finding the Fourth Proportional to 262,321.76, 392,668.12 and 142,080.07

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Solution

The fourth proportional to 262,321.76, 392,668.12 and 142,080.07 is: 212,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,321.76 : 392,668.12 = 142,080.07 : x
  2. Step 2: Convert to fraction form
    262,321.76/392,668.12 = 142,080.07/x
  3. Step 3: Cross multiply
    262,321.76x = 392,668.12 × 142,080.07
  4. Step 4: Simplify right side
    262,321.76x = 55,790,313,265.97
  5. Step 5: Solve for x
    x = 55,790,313,265.97/262,321.76
  6. Step 6: Final answer
    x = 212,678.94

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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.