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Finding the Fourth Proportional to 270,643.63, 405,854.46 and 81,037.21

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Solution

The fourth proportional to 270,643.63, 405,854.46 and 81,037.21 is: 121,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,643.63 : 405,854.46 = 81,037.21 : x
  2. Step 2: Convert to fraction form
    270,643.63/405,854.46 = 81,037.21/x
  3. Step 3: Cross multiply
    270,643.63x = 405,854.46 × 81,037.21
  4. Step 4: Simplify right side
    270,643.63x = 32,889,313,104.46
  5. Step 5: Solve for x
    x = 32,889,313,104.46/270,643.63
  6. Step 6: Final answer
    x = 121,522.58

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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.