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Finding the Fourth Proportional to 253,204.72, 349,510.42 and 145,817.54

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Solution

The fourth proportional to 253,204.72, 349,510.42 and 145,817.54 is: 201,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,204.72 : 349,510.42 = 145,817.54 : x
  2. Step 2: Convert to fraction form
    253,204.72/349,510.42 = 145,817.54/x
  3. Step 3: Cross multiply
    253,204.72x = 349,510.42 × 145,817.54
  4. Step 4: Simplify right side
    253,204.72x = 50,964,749,648.77
  5. Step 5: Solve for x
    x = 50,964,749,648.77/253,204.72
  6. Step 6: Final answer
    x = 201,278.83

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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.