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Finding the Fourth Proportional to 215,676.09, 323,514.14 and 65,916.81

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Solution

The fourth proportional to 215,676.09, 323,514.14 and 65,916.81 is: 98,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,676.09 : 323,514.14 = 65,916.81 : x
  2. Step 2: Convert to fraction form
    215,676.09/323,514.14 = 65,916.81/x
  3. Step 3: Cross multiply
    215,676.09x = 323,514.14 × 65,916.81
  4. Step 4: Simplify right side
    215,676.09x = 21,325,019,769.11
  5. Step 5: Solve for x
    x = 21,325,019,769.11/215,676.09
  6. Step 6: Final answer
    x = 98,875.22

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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.