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Finding the Fourth Proportional to 250,694.78, 345,953.34 and 141,784.74

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Solution

The fourth proportional to 250,694.78, 345,953.34 and 141,784.74 is: 195,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,694.78 : 345,953.34 = 141,784.74 : x
  2. Step 2: Convert to fraction form
    250,694.78/345,953.34 = 141,784.74/x
  3. Step 3: Cross multiply
    250,694.78x = 345,953.34 × 141,784.74
  4. Step 4: Simplify right side
    250,694.78x = 49,050,904,364.03
  5. Step 5: Solve for x
    x = 49,050,904,364.03/250,694.78
  6. Step 6: Final answer
    x = 195,659.86

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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.