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Finding the Fourth Proportional to 217,133.80, 325,733.10 and 76,881.40

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Solution

The fourth proportional to 217,133.80, 325,733.10 and 76,881.40 is: 115,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,133.80 : 325,733.10 = 76,881.40 : x
  2. Step 2: Convert to fraction form
    217,133.80/325,733.10 = 76,881.40/x
  3. Step 3: Cross multiply
    217,133.80x = 325,733.10 × 76,881.40
  4. Step 4: Simplify right side
    217,133.80x = 25,042,816,754.34
  5. Step 5: Solve for x
    x = 25,042,816,754.34/217,133.80
  6. Step 6: Final answer
    x = 115,333.57

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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.