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Finding the Fourth Proportional to 280,806.13, 421,126 and 81,128.31

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Solution

The fourth proportional to 280,806.13, 421,126 and 81,128.31 is: 121,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,806.13 : 421,126 = 81,128.31 : x
  2. Step 2: Convert to fraction form
    280,806.13/421,126 = 81,128.31/x
  3. Step 3: Cross multiply
    280,806.13x = 421,126 × 81,128.31
  4. Step 4: Simplify right side
    280,806.13x = 34,165,240,677.06
  5. Step 5: Solve for x
    x = 34,165,240,677.06/280,806.13
  6. Step 6: Final answer
    x = 121,668.43

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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.