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Finding the Fourth Proportional to 202,461.42, 279,398.87 and 111,819.69

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Solution

The fourth proportional to 202,461.42, 279,398.87 and 111,819.69 is: 154,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461.42 : 279,398.87 = 111,819.69 : x
  2. Step 2: Convert to fraction form
    202,461.42/279,398.87 = 111,819.69/x
  3. Step 3: Cross multiply
    202,461.42x = 279,398.87 × 111,819.69
  4. Step 4: Simplify right side
    202,461.42x = 31,242,294,889.98
  5. Step 5: Solve for x
    x = 31,242,294,889.98/202,461.42
  6. Step 6: Final answer
    x = 154,312.33

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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.