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Finding the Fourth Proportional to 270,582.87, 405,760.13 and 81,070.19

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Solution

The fourth proportional to 270,582.87, 405,760.13 and 81,070.19 is: 121,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,582.87 : 405,760.13 = 81,070.19 : x
  2. Step 2: Convert to fraction form
    270,582.87/405,760.13 = 81,070.19/x
  3. Step 3: Cross multiply
    270,582.87x = 405,760.13 × 81,070.19
  4. Step 4: Simplify right side
    270,582.87x = 32,895,050,224.99
  5. Step 5: Solve for x
    x = 32,895,050,224.99/270,582.87
  6. Step 6: Final answer
    x = 121,571.07

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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.