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Finding the Fourth Proportional to 191,011.20, 285,933.60 and 149,020.80

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Solution

The fourth proportional to 191,011.20, 285,933.60 and 149,020.80 is: 223,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,011.20 : 285,933.60 = 149,020.80 : x
  2. Step 2: Convert to fraction form
    191,011.20/285,933.60 = 149,020.80/x
  3. Step 3: Cross multiply
    191,011.20x = 285,933.60 × 149,020.80
  4. Step 4: Simplify right side
    191,011.20x = 42,610,053,818.88
  5. Step 5: Solve for x
    x = 42,610,053,818.88/191,011.20
  6. Step 6: Final answer
    x = 223,076.21

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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.