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Finding the Fourth Proportional to 216,417.33, 298,655.09 and 120,924

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Solution

The fourth proportional to 216,417.33, 298,655.09 and 120,924 is: 166,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,417.33 : 298,655.09 = 120,924 : x
  2. Step 2: Convert to fraction form
    216,417.33/298,655.09 = 120,924/x
  3. Step 3: Cross multiply
    216,417.33x = 298,655.09 × 120,924
  4. Step 4: Simplify right side
    216,417.33x = 36,114,568,103.16
  5. Step 5: Solve for x
    x = 36,114,568,103.16/216,417.33
  6. Step 6: Final answer
    x = 166,874.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.