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Finding the Fourth Proportional to 253,550, 349,899 and 140,380.04

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Solution

The fourth proportional to 253,550, 349,899 and 140,380.04 is: 193,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,550 : 349,899 = 140,380.04 : x
  2. Step 2: Convert to fraction form
    253,550/349,899 = 140,380.04/x
  3. Step 3: Cross multiply
    253,550x = 349,899 × 140,380.04
  4. Step 4: Simplify right side
    253,550x = 49,118,835,615.96
  5. Step 5: Solve for x
    x = 49,118,835,615.96/253,550
  6. Step 6: Final answer
    x = 193,724.46

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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.