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Finding the Fourth Proportional to 202,461.71, 279,399.26 and 111,819.97

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Solution

The fourth proportional to 202,461.71, 279,399.26 and 111,819.97 is: 154,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461.71 : 279,399.26 = 111,819.97 : x
  2. Step 2: Convert to fraction form
    202,461.71/279,399.26 = 111,819.97/x
  3. Step 3: Cross multiply
    202,461.71x = 279,399.26 × 111,819.97
  4. Step 4: Simplify right side
    202,461.71x = 31,242,417,500.02
  5. Step 5: Solve for x
    x = 31,242,417,500.02/202,461.71
  6. Step 6: Final answer
    x = 154,312.73

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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.