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Finding the Fourth Proportional to 253,917.75, 350,408.52 and 140,740.50

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Solution

The fourth proportional to 253,917.75, 350,408.52 and 140,740.50 is: 194,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,917.75 : 350,408.52 = 140,740.50 : x
  2. Step 2: Convert to fraction form
    253,917.75/350,408.52 = 140,740.50/x
  3. Step 3: Cross multiply
    253,917.75x = 350,408.52 × 140,740.50
  4. Step 4: Simplify right side
    253,917.75x = 49,316,670,309.06
  5. Step 5: Solve for x
    x = 49,316,670,309.06/253,917.75
  6. Step 6: Final answer
    x = 194,223.01

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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.