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Finding the Fourth Proportional to 253,098.69, 349,364.15 and 145,711.52

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Solution

The fourth proportional to 253,098.69, 349,364.15 and 145,711.52 is: 201,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,098.69 : 349,364.15 = 145,711.52 : x
  2. Step 2: Convert to fraction form
    253,098.69/349,364.15 = 145,711.52/x
  3. Step 3: Cross multiply
    253,098.69x = 349,364.15 × 145,711.52
  4. Step 4: Simplify right side
    253,098.69x = 50,906,383,495.96
  5. Step 5: Solve for x
    x = 50,906,383,495.96/253,098.69
  6. Step 6: Final answer
    x = 201,132.54

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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.