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Finding the Fourth Proportional to 255,594.97, 352,741.31 and 140,894

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Solution

The fourth proportional to 255,594.97, 352,741.31 and 140,894 is: 194,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,594.97 : 352,741.31 = 140,894 : x
  2. Step 2: Convert to fraction form
    255,594.97/352,741.31 = 140,894/x
  3. Step 3: Cross multiply
    255,594.97x = 352,741.31 × 140,894
  4. Step 4: Simplify right side
    255,594.97x = 49,699,134,131.14
  5. Step 5: Solve for x
    x = 49,699,134,131.14/255,594.97
  6. Step 6: Final answer
    x = 194,444.88

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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.