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Finding the Fourth Proportional to 215,708.99, 323,564.34 and 65,948.63

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Solution

The fourth proportional to 215,708.99, 323,564.34 and 65,948.63 is: 98,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,708.99 : 323,564.34 = 65,948.63 : x
  2. Step 2: Convert to fraction form
    215,708.99/323,564.34 = 65,948.63/x
  3. Step 3: Cross multiply
    215,708.99x = 323,564.34 × 65,948.63
  4. Step 4: Simplify right side
    215,708.99x = 21,338,624,939.85
  5. Step 5: Solve for x
    x = 21,338,624,939.85/215,708.99
  6. Step 6: Final answer
    x = 98,923.21

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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.