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Finding the Fourth Proportional to 253,405.80, 349,695.54 and 145,975.50

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Solution

The fourth proportional to 253,405.80, 349,695.54 and 145,975.50 is: 201,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,405.80 : 349,695.54 = 145,975.50 : x
  2. Step 2: Convert to fraction form
    253,405.80/349,695.54 = 145,975.50/x
  3. Step 3: Cross multiply
    253,405.80x = 349,695.54 × 145,975.50
  4. Step 4: Simplify right side
    253,405.80x = 51,046,981,299.27
  5. Step 5: Solve for x
    x = 51,046,981,299.27/253,405.80
  6. Step 6: Final answer
    x = 201,443.62

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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.