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Finding the Fourth Proportional to 215,298.48, 322,964.20 and 65,551.54

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Solution

The fourth proportional to 215,298.48, 322,964.20 and 65,551.54 is: 98,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,298.48 : 322,964.20 = 65,551.54 : x
  2. Step 2: Convert to fraction form
    215,298.48/322,964.20 = 65,551.54/x
  3. Step 3: Cross multiply
    215,298.48x = 322,964.20 × 65,551.54
  4. Step 4: Simplify right side
    215,298.48x = 21,170,800,674.87
  5. Step 5: Solve for x
    x = 21,170,800,674.87/215,298.48
  6. Step 6: Final answer
    x = 98,332.33

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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.