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Finding the Fourth Proportional to 253,701.31, 350,079.55 and 140,495.71

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Solution

The fourth proportional to 253,701.31, 350,079.55 and 140,495.71 is: 193,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,701.31 : 350,079.55 = 140,495.71 : x
  2. Step 2: Convert to fraction form
    253,701.31/350,079.55 = 140,495.71/x
  3. Step 3: Cross multiply
    253,701.31x = 350,079.55 × 140,495.71
  4. Step 4: Simplify right side
    253,701.31x = 49,184,674,933.73
  5. Step 5: Solve for x
    x = 49,184,674,933.73/253,701.31
  6. Step 6: Final answer
    x = 193,868.43

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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.