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Finding the Fourth Proportional to 253,878, 350,351.64 and 140,717.76

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Solution

The fourth proportional to 253,878, 350,351.64 and 140,717.76 is: 194,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,878 : 350,351.64 = 140,717.76 : x
  2. Step 2: Convert to fraction form
    253,878/350,351.64 = 140,717.76/x
  3. Step 3: Cross multiply
    253,878x = 350,351.64 × 140,717.76
  4. Step 4: Simplify right side
    253,878x = 49,300,697,993.13
  5. Step 5: Solve for x
    x = 49,300,697,993.13/253,878
  6. Step 6: Final answer
    x = 194,190.51

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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.