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Finding the Fourth Proportional to 261,276, 360,563.44 and 142,046.56

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Solution

The fourth proportional to 261,276, 360,563.44 and 142,046.56 is: 196,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,276 : 360,563.44 = 142,046.56 : x
  2. Step 2: Convert to fraction form
    261,276/360,563.44 = 142,046.56/x
  3. Step 3: Cross multiply
    261,276x = 360,563.44 × 142,046.56
  4. Step 4: Simplify right side
    261,276x = 51,216,796,313.77
  5. Step 5: Solve for x
    x = 51,216,796,313.77/261,276
  6. Step 6: Final answer
    x = 196,025.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.