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Finding the Fourth Proportional to 187,628.80, 280,828.80 and 145,849.60

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Solution

The fourth proportional to 187,628.80, 280,828.80 and 145,849.60 is: 218,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,628.80 : 280,828.80 = 145,849.60 : x
  2. Step 2: Convert to fraction form
    187,628.80/280,828.80 = 145,849.60/x
  3. Step 3: Cross multiply
    187,628.80x = 280,828.80 × 145,849.60
  4. Step 4: Simplify right side
    187,628.80x = 40,958,768,148.48
  5. Step 5: Solve for x
    x = 40,958,768,148.48/187,628.80
  6. Step 6: Final answer
    x = 218,296.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.