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Finding the Fourth Proportional to 211,696.74, 317,545.11 and 71,553.78

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Solution

The fourth proportional to 211,696.74, 317,545.11 and 71,553.78 is: 107,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,696.74 : 317,545.11 = 71,553.78 : x
  2. Step 2: Convert to fraction form
    211,696.74/317,545.11 = 71,553.78/x
  3. Step 3: Cross multiply
    211,696.74x = 317,545.11 × 71,553.78
  4. Step 4: Simplify right side
    211,696.74x = 22,721,552,941.02
  5. Step 5: Solve for x
    x = 22,721,552,941.02/211,696.74
  6. Step 6: Final answer
    x = 107,330.67

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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.