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Finding the Fourth Proportional to 217,552.75, 326,329.14 and 77,316.91

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Solution

The fourth proportional to 217,552.75, 326,329.14 and 77,316.91 is: 115,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,552.75 : 326,329.14 = 77,316.91 : x
  2. Step 2: Convert to fraction form
    217,552.75/326,329.14 = 77,316.91/x
  3. Step 3: Cross multiply
    217,552.75x = 326,329.14 × 77,316.91
  4. Step 4: Simplify right side
    217,552.75x = 25,230,760,747.76
  5. Step 5: Solve for x
    x = 25,230,760,747.76/217,552.75
  6. Step 6: Final answer
    x = 115,975.37

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1.5x scale

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.