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Finding the Fourth Proportional to 202,882, 279,978.12 and 113,458

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Solution

The fourth proportional to 202,882, 279,978.12 and 113,458 is: 156,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882 : 279,978.12 = 113,458 : x
  2. Step 2: Convert to fraction form
    202,882/279,978.12 = 113,458/x
  3. Step 3: Cross multiply
    202,882x = 279,978.12 × 113,458
  4. Step 4: Simplify right side
    202,882x = 31,765,757,538.96
  5. Step 5: Solve for x
    x = 31,765,757,538.96/202,882
  6. Step 6: Final answer
    x = 156,572.58

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