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Finding the Fourth Proportional to 202,860.90, 279,965.52 and 117,972

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Solution

The fourth proportional to 202,860.90, 279,965.52 and 117,972 is: 162,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,860.90 : 279,965.52 = 117,972 : x
  2. Step 2: Convert to fraction form
    202,860.90/279,965.52 = 117,972/x
  3. Step 3: Cross multiply
    202,860.90x = 279,965.52 × 117,972
  4. Step 4: Simplify right side
    202,860.90x = 33,028,092,325.44
  5. Step 5: Solve for x
    x = 33,028,092,325.44/202,860.90
  6. Step 6: Final answer
    x = 162,811.52

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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.