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Finding the Fourth Proportional to 253,869.50, 350,339.92 and 140,699.54

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Solution

The fourth proportional to 253,869.50, 350,339.92 and 140,699.54 is: 194,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,869.50 : 350,339.92 = 140,699.54 : x
  2. Step 2: Convert to fraction form
    253,869.50/350,339.92 = 140,699.54/x
  3. Step 3: Cross multiply
    253,869.50x = 350,339.92 × 140,699.54
  4. Step 4: Simplify right side
    253,869.50x = 49,292,665,587.64
  5. Step 5: Solve for x
    x = 49,292,665,587.64/253,869.50
  6. Step 6: Final answer
    x = 194,165.37

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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.