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Finding the Fourth Proportional to 253,573.25, 349,942.02 and 140,396

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Solution

The fourth proportional to 253,573.25, 349,942.02 and 140,396 is: 193,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,573.25 : 349,942.02 = 140,396 : x
  2. Step 2: Convert to fraction form
    253,573.25/349,942.02 = 140,396/x
  3. Step 3: Cross multiply
    253,573.25x = 349,942.02 × 140,396
  4. Step 4: Simplify right side
    253,573.25x = 49,130,459,839.92
  5. Step 5: Solve for x
    x = 49,130,459,839.92/253,573.25
  6. Step 6: Final answer
    x = 193,752.53

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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.