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Finding the Fourth Proportional to 133,979.94, 200,707.15 and 77,701.81

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Solution

The fourth proportional to 133,979.94, 200,707.15 and 77,701.81 is: 116,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,979.94 : 200,707.15 = 77,701.81 : x
  2. Step 2: Convert to fraction form
    133,979.94/200,707.15 = 77,701.81/x
  3. Step 3: Cross multiply
    133,979.94x = 200,707.15 × 77,701.81
  4. Step 4: Simplify right side
    133,979.94x = 15,595,308,640.69
  5. Step 5: Solve for x
    x = 15,595,308,640.69/133,979.94
  6. Step 6: Final answer
    x = 116,400.33

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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.