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Finding the Fourth Proportional to 251,153.64, 346,591.62 and 137,976.48

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Solution

The fourth proportional to 251,153.64, 346,591.62 and 137,976.48 is: 190,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,153.64 : 346,591.62 = 137,976.48 : x
  2. Step 2: Convert to fraction form
    251,153.64/346,591.62 = 137,976.48/x
  3. Step 3: Cross multiply
    251,153.64x = 346,591.62 × 137,976.48
  4. Step 4: Simplify right side
    251,153.64x = 47,821,491,725.10
  5. Step 5: Solve for x
    x = 47,821,491,725.10/251,153.64
  6. Step 6: Final answer
    x = 190,407.32

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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.