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Finding the Fourth Proportional to 202,883, 279,979.50 and 113,459

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Solution

The fourth proportional to 202,883, 279,979.50 and 113,459 is: 156,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883 : 279,979.50 = 113,459 : x
  2. Step 2: Convert to fraction form
    202,883/279,979.50 = 113,459/x
  3. Step 3: Cross multiply
    202,883x = 279,979.50 × 113,459
  4. Step 4: Simplify right side
    202,883x = 31,766,194,090.50
  5. Step 5: Solve for x
    x = 31,766,194,090.50/202,883
  6. Step 6: Final answer
    x = 156,573.96

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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.