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Finding the Fourth Proportional to 215,301.96, 322,953.12 and 102,955.68

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Solution

The fourth proportional to 215,301.96, 322,953.12 and 102,955.68 is: 154,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,301.96 : 322,953.12 = 102,955.68 : x
  2. Step 2: Convert to fraction form
    215,301.96/322,953.12 = 102,955.68/x
  3. Step 3: Cross multiply
    215,301.96x = 322,953.12 × 102,955.68
  4. Step 4: Simplify right side
    215,301.96x = 33,249,858,077.72
  5. Step 5: Solve for x
    x = 33,249,858,077.72/215,301.96
  6. Step 6: Final answer
    x = 154,433.61

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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.