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Finding the Fourth Proportional to 202,419.56, 279,274.02 and 112,978.28

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Solution

The fourth proportional to 202,419.56, 279,274.02 and 112,978.28 is: 155,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419.56 : 279,274.02 = 112,978.28 : x
  2. Step 2: Convert to fraction form
    202,419.56/279,274.02 = 112,978.28/x
  3. Step 3: Cross multiply
    202,419.56x = 279,274.02 × 112,978.28
  4. Step 4: Simplify right side
    202,419.56x = 31,551,898,428.29
  5. Step 5: Solve for x
    x = 31,551,898,428.29/202,419.56
  6. Step 6: Final answer
    x = 155,873.76

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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.