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Finding the Fourth Proportional to 216,899.61, 299,321.42 and 121,406.33

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Solution

The fourth proportional to 216,899.61, 299,321.42 and 121,406.33 is: 167,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,899.61 : 299,321.42 = 121,406.33 : x
  2. Step 2: Convert to fraction form
    216,899.61/299,321.42 = 121,406.33/x
  3. Step 3: Cross multiply
    216,899.61x = 299,321.42 × 121,406.33
  4. Step 4: Simplify right side
    216,899.61x = 36,339,512,988.95
  5. Step 5: Solve for x
    x = 36,339,512,988.95/216,899.61
  6. Step 6: Final answer
    x = 167,540.70

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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.