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Finding the Fourth Proportional to 202,455.88, 279,389.13 and 117,578.41

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Solution

The fourth proportional to 202,455.88, 279,389.13 and 117,578.41 is: 162,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,455.88 : 279,389.13 = 117,578.41 : x
  2. Step 2: Convert to fraction form
    202,455.88/279,389.13 = 117,578.41/x
  3. Step 3: Cross multiply
    202,455.88x = 279,389.13 × 117,578.41
  4. Step 4: Simplify right side
    202,455.88x = 32,850,129,676.68
  5. Step 5: Solve for x
    x = 32,850,129,676.68/202,455.88
  6. Step 6: Final answer
    x = 162,258.21

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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.