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Finding the Fourth Proportional to 261,268, 360,552.72 and 142,036

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Solution

The fourth proportional to 261,268, 360,552.72 and 142,036 is: 196,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,268 : 360,552.72 = 142,036 : x
  2. Step 2: Convert to fraction form
    261,268/360,552.72 = 142,036/x
  3. Step 3: Cross multiply
    261,268x = 360,552.72 × 142,036
  4. Step 4: Simplify right side
    261,268x = 51,211,466,137.92
  5. Step 5: Solve for x
    x = 51,211,466,137.92/261,268
  6. Step 6: Final answer
    x = 196,011.25

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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.