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Finding the Fourth Proportional to 252,019.86, 347,786.00 and 137,298.27

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Solution

The fourth proportional to 252,019.86, 347,786.00 and 137,298.27 is: 189,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,019.86 : 347,786.00 = 137,298.27 : x
  2. Step 2: Convert to fraction form
    252,019.86/347,786.00 = 137,298.27/x
  3. Step 3: Cross multiply
    252,019.86x = 347,786.00 × 137,298.27
  4. Step 4: Simplify right side
    252,019.86x = 47,750,415,100.65
  5. Step 5: Solve for x
    x = 47,750,415,100.65/252,019.86
  6. Step 6: Final answer
    x = 189,470.84

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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.