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Finding the Fourth Proportional to 253,573.22, 349,954.52 and 140,395.98

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Solution

The fourth proportional to 253,573.22, 349,954.52 and 140,395.98 is: 193,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,573.22 : 349,954.52 = 140,395.98 : x
  2. Step 2: Convert to fraction form
    253,573.22/349,954.52 = 140,395.98/x
  3. Step 3: Cross multiply
    253,573.22x = 349,954.52 × 140,395.98
  4. Step 4: Simplify right side
    253,573.22x = 49,132,207,790.83
  5. Step 5: Solve for x
    x = 49,132,207,790.83/253,573.22
  6. Step 6: Final answer
    x = 193,759.45

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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.