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Finding the Fourth Proportional to 252,643.52, 378,965.30 and 75,153.08

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Solution

The fourth proportional to 252,643.52, 378,965.30 and 75,153.08 is: 112,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,643.52 : 378,965.30 = 75,153.08 : x
  2. Step 2: Convert to fraction form
    252,643.52/378,965.30 = 75,153.08/x
  3. Step 3: Cross multiply
    252,643.52x = 378,965.30 × 75,153.08
  4. Step 4: Simplify right side
    252,643.52x = 28,480,409,508.12
  5. Step 5: Solve for x
    x = 28,480,409,508.12/252,643.52
  6. Step 6: Final answer
    x = 112,729.63

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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.