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Finding the Fourth Proportional to 191,815.80, 287,205.30 and 150,343.80

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Solution

The fourth proportional to 191,815.80, 287,205.30 and 150,343.80 is: 225,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,815.80 : 287,205.30 = 150,343.80 : x
  2. Step 2: Convert to fraction form
    191,815.80/287,205.30 = 150,343.80/x
  3. Step 3: Cross multiply
    191,815.80x = 287,205.30 × 150,343.80
  4. Step 4: Simplify right side
    191,815.80x = 43,179,536,182.14
  5. Step 5: Solve for x
    x = 43,179,536,182.14/191,815.80
  6. Step 6: Final answer
    x = 225,109.38

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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.