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Finding the Fourth Proportional to 133,854.49, 200,717.15 and 77,708.74

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Solution

The fourth proportional to 133,854.49, 200,717.15 and 77,708.74 is: 116,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,854.49 : 200,717.15 = 77,708.74 : x
  2. Step 2: Convert to fraction form
    133,854.49/200,717.15 = 77,708.74/x
  3. Step 3: Cross multiply
    133,854.49x = 200,717.15 × 77,708.74
  4. Step 4: Simplify right side
    133,854.49x = 15,597,476,139.03
  5. Step 5: Solve for x
    x = 15,597,476,139.03/133,854.49
  6. Step 6: Final answer
    x = 116,525.61

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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.