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Finding the Fourth Proportional to 190,092.80, 285,139.20 and 188,780.60

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Solution

The fourth proportional to 190,092.80, 285,139.20 and 188,780.60 is: 283,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,092.80 : 285,139.20 = 188,780.60 : x
  2. Step 2: Convert to fraction form
    190,092.80/285,139.20 = 188,780.60/x
  3. Step 3: Cross multiply
    190,092.80x = 285,139.20 × 188,780.60
  4. Step 4: Simplify right side
    190,092.80x = 53,828,749,259.52
  5. Step 5: Solve for x
    x = 53,828,749,259.52/190,092.80
  6. Step 6: Final answer
    x = 283,170.90

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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.