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Finding the Fourth Proportional to 133,205.65, 199,636.25 and 99,662.54

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Solution

The fourth proportional to 133,205.65, 199,636.25 and 99,662.54 is: 149,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.65 : 199,636.25 = 99,662.54 : x
  2. Step 2: Convert to fraction form
    133,205.65/199,636.25 = 99,662.54/x
  3. Step 3: Cross multiply
    133,205.65x = 199,636.25 × 99,662.54
  4. Step 4: Simplify right side
    133,205.65x = 19,896,254,254.58
  5. Step 5: Solve for x
    x = 19,896,254,254.58/133,205.65
  6. Step 6: Final answer
    x = 149,364.95

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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.