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Finding the Fourth Proportional to 133,207.76, 199,639.41 and 99,664.65

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Solution

The fourth proportional to 133,207.76, 199,639.41 and 99,664.65 is: 149,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207.76 : 199,639.41 = 99,664.65 : x
  2. Step 2: Convert to fraction form
    133,207.76/199,639.41 = 99,664.65/x
  3. Step 3: Cross multiply
    133,207.76x = 199,639.41 × 99,664.65
  4. Step 4: Simplify right side
    133,207.76x = 19,896,991,550.11
  5. Step 5: Solve for x
    x = 19,896,991,550.11/133,207.76
  6. Step 6: Final answer
    x = 149,368.11

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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.