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Finding the Fourth Proportional to 252,884.70, 349,005 and 138,180.75

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Solution

The fourth proportional to 252,884.70, 349,005 and 138,180.75 is: 190,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,884.70 : 349,005 = 138,180.75 : x
  2. Step 2: Convert to fraction form
    252,884.70/349,005 = 138,180.75/x
  3. Step 3: Cross multiply
    252,884.70x = 349,005 × 138,180.75
  4. Step 4: Simplify right side
    252,884.70x = 48,225,772,653.75
  5. Step 5: Solve for x
    x = 48,225,772,653.75/252,884.70
  6. Step 6: Final answer
    x = 190,702.61

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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.